I haven't read the documentation about web notifications but after a quick search I found this :
http://www.magpcss.org/ceforum/viewtopi ... =20#p21753
There are no plans to add support for web notifications in CEF3

...however... Marshall Greenblatt suggests that "You can define your own JavaScript bindings".
I could be wrong but if there's a way to receive those notifications at JS level, then you should be able to register a JS extension and send the notification to Delphi.
If someone wants to take a look, these pages describe the notification API :
http://www.html5rocks.com/en/tutorials/ ... ons/quick/
https://developer.chrome.com/extensions ... ifications
https://developer.chrome.com/extensions/notifications
https://developer.mozilla.org/en-US/doc ... tification