podrezo/MainWindow.xaml.cs

## index.html
<!doctype html>
<html>
  <body>
    <script>
      function recieveMessage(message) {
        document.write(message);
      }
      // Chrome
      if(myObject && myObject.sendMessage) {
        myObject.sendMessage('hello, I am Chromium!');
      }
      // Internet Explorer
      if(window.external && window.external.SendMessage) {
        myObject.sendMessage('hello, I am Internet Explorer!');
      }
    </script>
  </body>
</html>

## MainWindow.xaml.cs
public partial class MainWindow : Window
{
  public MainWindow()
  {
    InitializeComponent();
  }

  private void Window_Loaded(object sender, RoutedEventArgs e)
  {
    // Initialize Internet Explorer
    var ieScriptingObject = new ScriptingObject();
    embeddedInternetExplorer.Navigate('/path/to/index.html');
    embeddedInternetExplorer.ObjectForScripting = ieScriptingObject;
    // Initialize Chromium
    var cefScriptingObject = new ScriptingObject();
    embeddedChromium.RegisterJsObject("myObject", cefScriptingObject);
    embeddedChromium.Address = '/path/to/index.html';
    // Tell them both hello from WPF
    embeddedInternetExplorer.InvokeScript("recieveMessage", "Hello from WPF!");
    CefSharp.WebBrowserExtensions.ExecuteScriptAsync(embeddedChromium, "recieveMessage('Hello from WPF!')");
  }
}

## ScriptingObject.cs
[ComVisible(true)]
public class ScriptingObject
{
  // This method is invoked from the webview
  public void SendMessage(string message)
  {
    // Do something here with the message
    Debug.WriteLine(message);
  }
}
	<!doctype html>
	<html>
	<body>
	<script>
	function recieveMessage(message) {
	document.write(message);
	}
	// Chrome
	if(myObject && myObject.sendMessage) {
	myObject.sendMessage('hello, I am Chromium!');
	}
	// Internet Explorer
	if(window.external && window.external.SendMessage) {
	myObject.sendMessage('hello, I am Internet Explorer!');
	}
	</script>
	</body>
	</html>
	public partial class MainWindow : Window
	{
	public MainWindow()
	{
	InitializeComponent();
	}

	private void Window_Loaded(object sender, RoutedEventArgs e)
	{
	// Initialize Internet Explorer
	var ieScriptingObject = new ScriptingObject();
	embeddedInternetExplorer.Navigate('/path/to/index.html');
	embeddedInternetExplorer.ObjectForScripting = ieScriptingObject;
	// Initialize Chromium
	var cefScriptingObject = new ScriptingObject();
	embeddedChromium.RegisterJsObject("myObject", cefScriptingObject);
	embeddedChromium.Address = '/path/to/index.html';
	// Tell them both hello from WPF
	embeddedInternetExplorer.InvokeScript("recieveMessage", "Hello from WPF!");
	CefSharp.WebBrowserExtensions.ExecuteScriptAsync(embeddedChromium, "recieveMessage('Hello from WPF!')");
	}
	}
	[ComVisible(true)]
	public class ScriptingObject
	{
	// This method is invoked from the webview
	public void SendMessage(string message)
	{
	// Do something here with the message
	Debug.WriteLine(message);
	}
	}