diff --git a/docs/api.md b/docs/api.md
index c0f722f62a..9b3c0e4fba 100644
--- a/docs/api.md
+++ b/docs/api.md
@@ -271,6 +271,7 @@ await context.close();
 - [browserContext.clearPermissions()](#browsercontextclearpermissions)
 - [browserContext.close()](#browsercontextclose)
 - [browserContext.cookies([...urls])](#browsercontextcookiesurls)
+- [browserContext.exposeFunction(name, playwrightFunction)](#browsercontextexposefunctionname-playwrightfunction)
 - [browserContext.newPage()](#browsercontextnewpage)
 - [browserContext.pages()](#browsercontextpages)
 - [browserContext.setCookies(cookies)](#browsercontextsetcookiescookies)
@@ -361,6 +362,73 @@ will be closed.
 If no URLs are specified, this method returns all cookies.
 If URLs are specified, only cookies that affect those URLs are returned.
 
+#### browserContext.exposeFunction(name, playwrightFunction)
+- `name` <[string]> Name of the function on the window object.
+- `playwrightFunction` <[function]> Callback function which will be called in Playwright's context.
+- returns: <[Promise]>
+
+The method adds a function called `name` on the `window` object of every frame in every page in the context.
+When called, the function executes `playwrightFunction` in node.js and returns a [Promise] which resolves to the return value of `playwrightFunction`.
+
+If the `playwrightFunction` returns a [Promise], it will be awaited.
+
+See [page.exposeFunction(name, playwrightFunction)](#pageexposefunctionname-playwrightfunction) for page-only version.
+
+> **NOTE** Functions installed via `page.exposeFunction` survive navigations.
+
+An example of adding an `md5` function to all pages in the context:
+```js
+const { webkit } = require('playwright');  // Or 'chromium' or 'firefox'.
+const crypto = require('crypto');
+
+(async () => {
+  const browser = await webkit.launch({ headless: false });
+  const context = await browser.newContext();
+  await context.exposeFunction('md5', text => crypto.createHash('md5').update(text).digest('hex'));
+  const page = await context.newPage();
+  await page.setContent(`
+    <script>
+      async function onClick() {
+        document.querySelector('div').textContent = await window.md5('PLAYWRIGHT');
+      }
+    </script>
+    <button onclick="onClick()">Click me</button>
+    <div></div>
+  `);
+  await page.click('button');
+})();
+```
+
+An example of adding a `window.readfile` function to all pages in the context:
+
+```js
+const { chromium } = require('playwright');  // Or 'firefox' or 'webkit'.
+const fs = require('fs');
+
+(async () => {
+  const browser = await chromium.launch();
+  const context = await browser.newContext();
+  await context.exposeFunction('readfile', async filePath => {
+    return new Promise((resolve, reject) => {
+      fs.readFile(filePath, 'utf8', (err, text) => {
+        if (err)
+          reject(err);
+        else
+          resolve(text);
+      });
+    });
+  });
+  const page = await context.newPage();
+  page.on('console', msg => console.log(msg.text()));
+  await page.evaluate(async () => {
+    // use window.readfile to read contents of a file
+    const content = await window.readfile('/etc/hosts');
+    console.log(content);
+  });
+  await browser.close();
+})();
+```
+
 #### browserContext.newPage()
 - returns: <[Promise]<[Page]>>
 
@@ -1007,36 +1075,38 @@ await resultHandle.dispose();
 - `playwrightFunction` <[function]> Callback function which will be called in Playwright's context.
 - returns: <[Promise]>
 
-The method adds a function called `name` on the page's `window` object.
+The method adds a function called `name` on the `window` object of every frame in the page.
 When called, the function executes `playwrightFunction` in node.js and returns a [Promise] which resolves to the return value of `playwrightFunction`.
 
 If the `playwrightFunction` returns a [Promise], it will be awaited.
 
+See [browserContext.exposeFunction(name, playwrightFunction)](#browsercontextexposefunctionname-playwrightfunction) for context-wide exposed function.
+
 > **NOTE** Functions installed via `page.exposeFunction` survive navigations.
 
-An example of adding an `md5` function into the page:
+An example of adding an `md5` function to the page:
 ```js
-const { firefox } = require('playwright');  // Or 'chromium' or 'webkit'.
+const { webkit } = require('playwright');  // Or 'chromium' or 'firefox'.
 const crypto = require('crypto');
 
 (async () => {
-  const browser = await firefox.launch();
+  const browser = await webkit.launch({ headless: false });
   const page = await browser.newPage();
-  page.on('console', msg => console.log(msg.text()));
-  await page.exposeFunction('md5', text =>
-    crypto.createHash('md5').update(text).digest('hex')
-  );
-  await page.evaluate(async () => {
-    // use window.md5 to compute hashes
-    const myString = 'PLAYWRIGHT';
-    const myHash = await window.md5(myString);
-    console.log(`md5 of ${myString} is ${myHash}`);
-  });
-  await browser.close();
+  await page.exposeFunction('md5', text => crypto.createHash('md5').update(text).digest('hex'));
+  await page.setContent(`
+    <script>
+      async function onClick() {
+        document.querySelector('div').textContent = await window.md5('PLAYWRIGHT');
+      }
+    </script>
+    <button onclick="onClick()">Click me</button>
+    <div></div>
+  `);
+  await page.click('button');
 })();
 ```
 
-An example of adding a `window.readfile` function into the page:
+An example of adding a `window.readfile` function to the page:
 
 ```js
 const { chromium } = require('playwright');  // Or 'firefox' or 'webkit'.
@@ -3624,6 +3694,7 @@ const backgroundPage = await backroundPageTarget.page();
 - [browserContext.clearPermissions()](#browsercontextclearpermissions)
 - [browserContext.close()](#browsercontextclose)
 - [browserContext.cookies([...urls])](#browsercontextcookiesurls)
+- [browserContext.exposeFunction(name, playwrightFunction)](#browsercontextexposefunctionname-playwrightfunction)
 - [browserContext.newPage()](#browsercontextnewpage)
 - [browserContext.pages()](#browsercontextpages)
 - [browserContext.setCookies(cookies)](#browsercontextsetcookiescookies)
diff --git a/src/browserContext.ts b/src/browserContext.ts
index 85c51dc90f..54fdd05a02 100644
--- a/src/browserContext.ts
+++ b/src/browserContext.ts
@@ -15,7 +15,7 @@
  * limitations under the License.
  */
 
-import { Page } from './page';
+import { Page, PageBinding } from './page';
 import * as network from './network';
 import * as types from './types';
 import { helper } from './helper';
@@ -47,11 +47,13 @@ export interface BrowserContext {
   setGeolocation(geolocation: types.Geolocation | null): Promise<void>;
   setExtraHTTPHeaders(headers: network.Headers): Promise<void>;
   addInitScript(script: Function | string | { path?: string, content?: string }, ...args: any[]): Promise<void>;
+  exposeFunction(name: string, playwrightFunction: Function): Promise<void>;
   close(): Promise<void>;
 
   _existingPages(): Page[];
   readonly _timeoutSettings: TimeoutSettings;
   readonly _options: BrowserContextOptions;
+  readonly _pageBindings: Map<string, PageBinding>;
 }
 
 export function assertBrowserContextIsNotOwned(context: BrowserContext) {
diff --git a/src/chromium/crBrowser.ts b/src/chromium/crBrowser.ts
index 5a7ddf5b97..8c627439ce 100644
--- a/src/chromium/crBrowser.ts
+++ b/src/chromium/crBrowser.ts
@@ -20,7 +20,7 @@ import { Events as CommonEvents } from '../events';
 import { assert, helper, debugError } from '../helper';
 import { BrowserContext, BrowserContextOptions, validateBrowserContextOptions, assertBrowserContextIsNotOwned, verifyGeolocation } from '../browserContext';
 import { CRConnection, ConnectionEvents, CRSession } from './crConnection';
-import { Page, PageEvent } from '../page';
+import { Page, PageEvent, PageBinding } from '../page';
 import { CRTarget } from './crTarget';
 import { Protocol } from './protocol';
 import { CRPage } from './crPage';
@@ -204,6 +204,7 @@ export class CRBrowserContext extends platform.EventEmitter implements BrowserCo
   readonly _options: BrowserContextOptions;
   readonly _timeoutSettings: TimeoutSettings;
   readonly _evaluateOnNewDocumentSources: string[];
+  readonly _pageBindings = new Map<string, PageBinding>();
   private _closed = false;
 
   constructor(browser: CRBrowser, browserContextId: string | null, options: BrowserContextOptions) {
@@ -325,6 +326,19 @@ export class CRBrowserContext extends platform.EventEmitter implements BrowserCo
       await (page._delegate as CRPage).evaluateOnNewDocument(source);
   }
 
+  async exposeFunction(name: string, playwrightFunction: Function): Promise<void> {
+    for (const page of this._existingPages()) {
+      if (page._pageBindings.has(name))
+        throw new Error(`Function "${name}" has been already registered in one of the pages`);
+    }
+    if (this._pageBindings.has(name))
+      throw new Error(`Function "${name}" has been already registered`);
+    const binding = new PageBinding(name, playwrightFunction);
+    this._pageBindings.set(name, binding);
+    for (const page of this._existingPages())
+      await (page._delegate as CRPage).exposeBinding(binding);
+  }
+
   async close() {
     if (this._closed)
       return;
diff --git a/src/chromium/crPage.ts b/src/chromium/crPage.ts
index fd70da0338..c4d99aa652 100644
--- a/src/chromium/crPage.ts
+++ b/src/chromium/crPage.ts
@@ -23,7 +23,7 @@ import * as network from '../network';
 import { CRSession, CRConnection } from './crConnection';
 import { EVALUATION_SCRIPT_URL, CRExecutionContext } from './crExecutionContext';
 import { CRNetworkManager } from './crNetworkManager';
-import { Page, Worker } from '../page';
+import { Page, Worker, PageBinding } from '../page';
 import { Protocol } from './protocol';
 import { Events } from '../events';
 import { toConsoleMessageLocation, exceptionToError, releaseObject } from './crProtocolHelper';
@@ -120,6 +120,8 @@ export class CRPage implements PageDelegate {
     if (options.geolocation)
       promises.push(this._client.send('Emulation.setGeolocationOverride', options.geolocation));
     promises.push(this.updateExtraHTTPHeaders());
+    for (const binding of this._browserContext._pageBindings.values())
+      promises.push(this._initBinding(binding));
     for (const source of this._browserContext._evaluateOnNewDocumentSources)
       promises.push(this.evaluateOnNewDocument(source));
     await Promise.all(promises);
@@ -276,10 +278,16 @@ export class CRPage implements PageDelegate {
     this._page._addConsoleMessage(event.type, values, toConsoleMessageLocation(event.stackTrace));
   }
 
-  async exposeBinding(name: string, bindingFunction: string) {
-    await this._client.send('Runtime.addBinding', {name: name});
-    await this._client.send('Page.addScriptToEvaluateOnNewDocument', {source: bindingFunction});
-    await Promise.all(this._page.frames().map(frame => frame.evaluate(bindingFunction).catch(debugError)));
+  async exposeBinding(binding: PageBinding) {
+    await this._initBinding(binding);
+    await Promise.all(this._page.frames().map(frame => frame.evaluate(binding.source).catch(debugError)));
+  }
+
+  async _initBinding(binding: PageBinding) {
+    await Promise.all([
+      this._client.send('Runtime.addBinding', { name: binding.name }),
+      this._client.send('Page.addScriptToEvaluateOnNewDocument', { source: binding.source })
+    ]);
   }
 
   _onBindingCalled(event: Protocol.Runtime.bindingCalledPayload) {
diff --git a/src/firefox/ffBrowser.ts b/src/firefox/ffBrowser.ts
index 95fc7ef6db..059dca2f6c 100644
--- a/src/firefox/ffBrowser.ts
+++ b/src/firefox/ffBrowser.ts
@@ -21,7 +21,7 @@ import { Events } from '../events';
 import { assert, helper, RegisteredListener, debugError } from '../helper';
 import * as network from '../network';
 import * as types from '../types';
-import { Page, PageEvent } from '../page';
+import { Page, PageEvent, PageBinding } from '../page';
 import { ConnectionEvents, FFConnection, FFSessionEvents, FFSession } from './ffConnection';
 import { FFPage } from './ffPage';
 import * as platform from '../platform';
@@ -265,6 +265,7 @@ export class FFBrowserContext extends platform.EventEmitter implements BrowserCo
   readonly _timeoutSettings: TimeoutSettings;
   private _closed = false;
   private readonly _evaluateOnNewDocumentSources: string[];
+  readonly _pageBindings = new Map<string, PageBinding>();
 
   constructor(browser: FFBrowser, browserContextId: string | null, options: BrowserContextOptions) {
     super();
@@ -368,6 +369,18 @@ export class FFBrowserContext extends platform.EventEmitter implements BrowserCo
     await this._browser._connection.send('Browser.addScriptToEvaluateOnNewDocument', { browserContextId: this._browserContextId || undefined, script: source });
   }
 
+  async exposeFunction(name: string, playwrightFunction: Function): Promise<void> {
+    for (const page of this._existingPages()) {
+      if (page._pageBindings.has(name))
+        throw new Error(`Function "${name}" has been already registered in one of the pages`);
+    }
+    if (this._pageBindings.has(name))
+      throw new Error(`Function "${name}" has been already registered`);
+    const binding = new PageBinding(name, playwrightFunction);
+    this._pageBindings.set(name, binding);
+    throw new Error('Not implemented');
+  }
+
   async close() {
     if (this._closed)
       return;
diff --git a/src/firefox/ffPage.ts b/src/firefox/ffPage.ts
index ad5d60ba3a..ea9a271f09 100644
--- a/src/firefox/ffPage.ts
+++ b/src/firefox/ffPage.ts
@@ -20,7 +20,7 @@ import { helper, RegisteredListener, debugError, assert } from '../helper';
 import * as dom from '../dom';
 import { FFSession } from './ffConnection';
 import { FFExecutionContext } from './ffExecutionContext';
-import { Page, PageDelegate, Worker } from '../page';
+import { Page, PageDelegate, Worker, PageBinding } from '../page';
 import { FFNetworkManager, headersArray } from './ffNetworkManager';
 import { Events } from '../events';
 import * as dialog from '../dialog';
@@ -233,10 +233,10 @@ export class FFPage implements PageDelegate {
     this._page._didCrash();
   }
 
-  async exposeBinding(name: string, bindingFunction: string): Promise<void> {
-    await this._session.send('Page.addBinding', {name: name});
-    await this._session.send('Page.addScriptToEvaluateOnNewDocument', {script: bindingFunction});
-    await Promise.all(this._page.frames().map(frame => frame.evaluate(bindingFunction).catch(debugError)));
+  async exposeBinding(binding: PageBinding) {
+    await this._session.send('Page.addBinding', {name: binding.name});
+    await this._session.send('Page.addScriptToEvaluateOnNewDocument', {script: binding.source});
+    await Promise.all(this._page.frames().map(frame => frame.evaluate(binding.source).catch(debugError)));
   }
 
   didClose() {
diff --git a/src/page.ts b/src/page.ts
index e664b0d578..16bb044288 100644
--- a/src/page.ts
+++ b/src/page.ts
@@ -39,7 +39,7 @@ export interface PageDelegate {
   reload(): Promise<void>;
   goBack(): Promise<boolean>;
   goForward(): Promise<boolean>;
-  exposeBinding(name: string, bindingFunction: string): Promise<void>;
+  exposeBinding(binding: PageBinding): Promise<void>;
   evaluateOnNewDocument(source: string): Promise<void>;
   closePage(runBeforeUnload: boolean): Promise<void>;
 
@@ -117,7 +117,7 @@ export class Page extends platform.EventEmitter {
   readonly _timeoutSettings: TimeoutSettings;
   readonly _delegate: PageDelegate;
   readonly _state: PageState;
-  private _pageBindings = new Map<string, Function>();
+  readonly _pageBindings = new Map<string, PageBinding>();
   readonly _screenshotter: Screenshotter;
   readonly _frameManager: frames.FrameManager;
   readonly accessibility: accessibility.Accessibility;
@@ -256,26 +256,12 @@ export class Page extends platform.EventEmitter {
 
   async exposeFunction(name: string, playwrightFunction: Function) {
     if (this._pageBindings.has(name))
-      throw new Error(`Failed to add page binding with name ${name}: window['${name}'] already exists!`);
-    this._pageBindings.set(name, playwrightFunction);
-    await this._delegate.exposeBinding(name, helper.evaluationString(addPageBinding, name));
-
-    function addPageBinding(bindingName: string) {
-      const binding = (window as any)[bindingName];
-      (window as any)[bindingName] = (...args: any[]) => {
-        const me = (window as any)[bindingName];
-        let callbacks = me['callbacks'];
-        if (!callbacks) {
-          callbacks = new Map();
-          me['callbacks'] = callbacks;
-        }
-        const seq = (me['lastSeq'] || 0) + 1;
-        me['lastSeq'] = seq;
-        const promise = new Promise((resolve, reject) => callbacks.set(seq, {resolve, reject}));
-        binding(JSON.stringify({name: bindingName, seq, args}));
-        return promise;
-      };
-    }
+      throw new Error(`Function "${name}" has been already registered`);
+    if (this._browserContext._pageBindings.has(name))
+      throw new Error(`Function "${name}" has been already registered in the browser context`);
+    const binding = new PageBinding(name, playwrightFunction);
+    this._pageBindings.set(name, binding);
+    await this._delegate.exposeBinding(binding);
   }
 
   setExtraHTTPHeaders(headers: network.Headers) {
@@ -284,35 +270,7 @@ export class Page extends platform.EventEmitter {
   }
 
   async _onBindingCalled(payload: string, context: js.ExecutionContext) {
-    const {name, seq, args} = JSON.parse(payload);
-    let expression = null;
-    try {
-      const result = await this._pageBindings.get(name)!(...args);
-      expression = helper.evaluationString(deliverResult, name, seq, result);
-    } catch (error) {
-      if (error instanceof Error)
-        expression = helper.evaluationString(deliverError, name, seq, error.message, error.stack);
-      else
-        expression = helper.evaluationString(deliverErrorValue, name, seq, error);
-    }
-    context.evaluate(expression).catch(debugError);
-
-    function deliverResult(name: string, seq: number, result: any) {
-      (window as any)[name]['callbacks'].get(seq).resolve(result);
-      (window as any)[name]['callbacks'].delete(seq);
-    }
-
-    function deliverError(name: string, seq: number, message: string, stack: string) {
-      const error = new Error(message);
-      error.stack = stack;
-      (window as any)[name]['callbacks'].get(seq).reject(error);
-      (window as any)[name]['callbacks'].delete(seq);
-    }
-
-    function deliverErrorValue(name: string, seq: number, value: any) {
-      (window as any)[name]['callbacks'].get(seq).reject(value);
-      (window as any)[name]['callbacks'].delete(seq);
-    }
+    await PageBinding.dispatch(this, payload, context);
   }
 
   _addConsoleMessage(type: string, args: js.JSHandle[], location: ConsoleMessageLocation, text?: string) {
@@ -609,3 +567,67 @@ export class Worker extends platform.EventEmitter {
     return (await this._executionContextPromise).evaluateHandle(pageFunction, ...args as any);
   }
 }
+
+export class PageBinding {
+  readonly name: string;
+  readonly playwrightFunction: Function;
+  readonly source: string;
+
+  constructor(name: string, playwrightFunction: Function) {
+    this.name = name;
+    this.playwrightFunction = playwrightFunction;
+    this.source = helper.evaluationString(addPageBinding, name);
+  }
+
+  static async dispatch(page: Page, payload: string, context: js.ExecutionContext) {
+    const {name, seq, args} = JSON.parse(payload);
+    let expression = null;
+    try {
+      let binding = page._pageBindings.get(name);
+      if (!binding)
+        binding = page.context()._pageBindings.get(name);
+      const result = await binding!.playwrightFunction(...args);
+      expression = helper.evaluationString(deliverResult, name, seq, result);
+    } catch (error) {
+      if (error instanceof Error)
+        expression = helper.evaluationString(deliverError, name, seq, error.message, error.stack);
+      else
+        expression = helper.evaluationString(deliverErrorValue, name, seq, error);
+    }
+    context.evaluate(expression).catch(debugError);
+
+    function deliverResult(name: string, seq: number, result: any) {
+      (window as any)[name]['callbacks'].get(seq).resolve(result);
+      (window as any)[name]['callbacks'].delete(seq);
+    }
+
+    function deliverError(name: string, seq: number, message: string, stack: string) {
+      const error = new Error(message);
+      error.stack = stack;
+      (window as any)[name]['callbacks'].get(seq).reject(error);
+      (window as any)[name]['callbacks'].delete(seq);
+    }
+
+    function deliverErrorValue(name: string, seq: number, value: any) {
+      (window as any)[name]['callbacks'].get(seq).reject(value);
+      (window as any)[name]['callbacks'].delete(seq);
+    }
+  }
+}
+
+function addPageBinding(bindingName: string) {
+  const binding = (window as any)[bindingName];
+  (window as any)[bindingName] = (...args: any[]) => {
+    const me = (window as any)[bindingName];
+    let callbacks = me['callbacks'];
+    if (!callbacks) {
+      callbacks = new Map();
+      me['callbacks'] = callbacks;
+    }
+    const seq = (me['lastSeq'] || 0) + 1;
+    me['lastSeq'] = seq;
+    const promise = new Promise((resolve, reject) => callbacks.set(seq, {resolve, reject}));
+    binding(JSON.stringify({name: bindingName, seq, args}));
+    return promise;
+  };
+}
diff --git a/src/webkit/wkBrowser.ts b/src/webkit/wkBrowser.ts
index f43aed611e..b0684d4070 100644
--- a/src/webkit/wkBrowser.ts
+++ b/src/webkit/wkBrowser.ts
@@ -19,7 +19,7 @@ import { Browser, createPageInNewContext } from '../browser';
 import { BrowserContext, BrowserContextOptions, validateBrowserContextOptions, assertBrowserContextIsNotOwned, verifyGeolocation } from '../browserContext';
 import { assert, helper, RegisteredListener, debugError } from '../helper';
 import * as network from '../network';
-import { Page, PageEvent } from '../page';
+import { Page, PageBinding, PageEvent } from '../page';
 import { ConnectionTransport, SlowMoTransport } from '../transport';
 import * as types from '../types';
 import { Events } from '../events';
@@ -187,6 +187,7 @@ export class WKBrowserContext extends platform.EventEmitter implements BrowserCo
   readonly _timeoutSettings: TimeoutSettings;
   private _closed = false;
   readonly _evaluateOnNewDocumentSources: string[];
+  readonly _pageBindings = new Map<string, PageBinding>();
 
   constructor(browser: WKBrowser, browserContextId: string | undefined, options: BrowserContextOptions) {
     super();
@@ -297,6 +298,19 @@ export class WKBrowserContext extends platform.EventEmitter implements BrowserCo
       await (page._delegate as WKPage)._updateBootstrapScript();
   }
 
+  async exposeFunction(name: string, playwrightFunction: Function): Promise<void> {
+    for (const page of this._existingPages()) {
+      if (page._pageBindings.has(name))
+        throw new Error(`Function "${name}" has been already registered in one of the pages`);
+    }
+    if (this._pageBindings.has(name))
+      throw new Error(`Function "${name}" has been already registered`);
+    const binding = new PageBinding(name, playwrightFunction);
+    this._pageBindings.set(name, binding);
+    for (const page of this._existingPages())
+      await (page._delegate as WKPage).exposeBinding(binding);
+  }
+
   async close() {
     if (this._closed)
       return;
diff --git a/src/webkit/wkPage.ts b/src/webkit/wkPage.ts
index e9adfb2eb6..de923b1881 100644
--- a/src/webkit/wkPage.ts
+++ b/src/webkit/wkPage.ts
@@ -24,7 +24,7 @@ import { Events } from '../events';
 import { WKExecutionContext } from './wkExecutionContext';
 import { WKInterceptableRequest } from './wkInterceptableRequest';
 import { WKWorkers } from './wkWorkers';
-import { Page, PageDelegate } from '../page';
+import { Page, PageDelegate, PageBinding } from '../page';
 import { Protocol } from './protocol';
 import * as dialog from '../dialog';
 import { RawMouseImpl, RawKeyboardImpl } from './wkInput';
@@ -52,7 +52,7 @@ export class WKPage implements PageDelegate {
   private readonly _contextIdToContext: Map<number, dom.FrameExecutionContext>;
   private _mainFrameContextId?: number;
   private _sessionListeners: RegisteredListener[] = [];
-  private readonly _bootstrapScripts: string[] = [];
+  private readonly _evaluateOnNewDocumentSources: string[] = [];
   private readonly _browserContext: WKBrowserContext;
 
   constructor(browserContext: WKBrowserContext, pageProxySession: WKSession, opener: WKPageProxy | null) {
@@ -140,6 +140,8 @@ export class WKPage implements PageDelegate {
     if (this._page._state.mediaType || this._page._state.colorScheme)
       promises.push(WKPage._setEmulateMedia(session, this._page._state.mediaType, this._page._state.colorScheme));
     promises.push(session.send('Page.setBootstrapScript', { source: this._calculateBootstrapScript() }));
+    for (const binding of this._browserContext._pageBindings.values())
+      promises.push(this._evaluateBindingScript(binding));
     if (contextOptions.bypassCSP)
       promises.push(session.send('Page.setBypassCSP', { enabled: true }));
     promises.push(session.send('Network.setExtraHTTPHeaders', { headers: this._calculateExtraHTTPHeaders() }));
@@ -461,20 +463,34 @@ export class WKPage implements PageDelegate {
     });
   }
 
-  async exposeBinding(name: string, bindingFunction: string): Promise<void> {
-    const script = `self.${name} = (param) => console.debug('${BINDING_CALL_MESSAGE}', {}, param); ${bindingFunction}`;
-    this._bootstrapScripts.unshift(script);
+  async exposeBinding(binding: PageBinding): Promise<void> {
     await this._updateBootstrapScript();
+    await this._evaluateBindingScript(binding);
+  }
+
+  private async _evaluateBindingScript(binding: PageBinding): Promise<void> {
+    const script = this._bindingToScript(binding);
     await Promise.all(this._page.frames().map(frame => frame.evaluate(script).catch(debugError)));
   }
 
   async evaluateOnNewDocument(script: string): Promise<void> {
-    this._bootstrapScripts.push(script);
+    this._evaluateOnNewDocumentSources.push(script);
     await this._updateBootstrapScript();
   }
 
+  private _bindingToScript(binding: PageBinding): string {
+    return `self.${binding.name} = (param) => console.debug('${BINDING_CALL_MESSAGE}', {}, param); ${binding.source}`;
+  }
+
   private _calculateBootstrapScript(): string {
-    return [...this._browserContext._evaluateOnNewDocumentSources, ...this._bootstrapScripts].join(';');
+    const scripts: string[] = [];
+    for (const binding of this._browserContext._pageBindings.values())
+      scripts.push(this._bindingToScript(binding));
+    for (const binding of this._page._pageBindings.values())
+      scripts.push(this._bindingToScript(binding));
+    scripts.push(...this._browserContext._evaluateOnNewDocumentSources);
+    scripts.push(...this._evaluateOnNewDocumentSources);
+    return scripts.join(';');
   }
 
   async _updateBootstrapScript(): Promise<void> {
diff --git a/test/browsercontext.spec.js b/test/browsercontext.spec.js
index e7538580bb..35b5506a76 100644
--- a/test/browsercontext.spec.js
+++ b/test/browsercontext.spec.js
@@ -306,6 +306,48 @@ module.exports.describe = function({testRunner, expect, playwright, CHROMIUM, FF
     });
   });
 
+  describe('BrowserContext.exposeFunction', () => {
+    it.fail(CHROMIUM || FFOX)('should work', async({browser, server}) => {
+      const context = await browser.newContext();
+      await context.exposeFunction('add', (a, b) => a + b);
+      const page = await context.newPage();
+      await page.exposeFunction('mul', (a, b) => a * b);
+      const result = await page.evaluate(async function() {
+        return { mul: await mul(9, 4), add: await add(9, 4) };
+      });
+      expect(result).toEqual({ mul: 36, add: 13 });
+      await context.close();
+    });
+    it.fail(FFOX)('should throw for duplicate registrations', async({browser, server}) => {
+      const context = await browser.newContext();
+      await context.exposeFunction('foo', () => {});
+      await context.exposeFunction('bar', () => {});
+      let error = await context.exposeFunction('foo', () => {}).catch(e => e);
+      expect(error.message).toBe('Function "foo" has been already registered');
+      const page = await context.newPage();
+      error = await page.exposeFunction('foo', () => {}).catch(e => e);
+      expect(error.message).toBe('Function "foo" has been already registered in the browser context');
+      await page.exposeFunction('baz', () => {});
+      error = await context.exposeFunction('baz', () => {}).catch(e => e);
+      expect(error.message).toBe('Function "baz" has been already registered in one of the pages');
+      await context.close();
+    });
+    it.skip(FFOX)('should be callable from-inside addInitScript', async({browser, server}) => {
+      const context = await browser.newContext();
+      let args = [];
+      await context.exposeFunction('woof', function(arg) {
+        args.push(arg);
+      });
+      await context.addInitScript(() => woof('context'));
+      const page = await context.newPage();
+      await page.addInitScript(() => woof('page'));
+      args = [];
+      await page.reload();
+      expect(args).toEqual(['context', 'page']);
+      await context.close();
+    });
+  });
+
   describe('Events.BrowserContext.Page', function() {
     it('should report when a new page is created and closed', async({browser, server}) => {
       const context = await browser.newContext();
diff --git a/test/evaluation.spec.js b/test/evaluation.spec.js
index 154fcaad1e..1f376d390b 100644
--- a/test/evaluation.spec.js
+++ b/test/evaluation.spec.js
@@ -274,7 +274,15 @@ module.exports.describe = function({testRunner, expect, FFOX, CHROMIUM, WEBKIT})
       await page.evaluate(() => { window.JSON.stringify = null; window.JSON = null; });
       const result = await page.evaluate(() => ({abc: 123}));
       expect(result).toEqual({abc: 123});
-    })
+    });
+    it.fail(WEBKIT)('should await promise from popup', async function({page, server}) {
+      await page.goto(server.EMPTY_PAGE);
+      const result = await page.evaluate(() => {
+        const win = window.open('about:blank');
+        return new win.Promise(f => f(42));
+      });
+      expect(result).toBe(42);
+    });
   });
 
   describe('Page.addInitScript', function() {
diff --git a/test/popup.spec.js b/test/popup.spec.js
index f14e63a1e3..419b61858f 100644
--- a/test/popup.spec.js
+++ b/test/popup.spec.js
@@ -86,6 +86,18 @@ module.exports.describe = function({testRunner, expect, playwright, CHROMIUM, WE
       await context.close();
       expect(injected).toBe(123);
     });
+    it.fail(CHROMIUM || FFOX)('should expose function from browser context', async function({browser, server}) {
+      const context = await browser.newContext();
+      await context.exposeFunction('add', (a, b) => a + b);
+      const page = await context.newPage();
+      await page.goto(server.EMPTY_PAGE);
+      const added = await page.evaluate(async () => {
+        const win = window.open('about:blank');
+        return win.add(9, 4);
+      });
+      await context.close();
+      expect(added).toBe(13);
+    });
   });
 
   describe('Page.Events.Popup', function() {