Desktop Messenger for Telegram™ is the easiest way to check Telegram from your desktop machine. Clicking on the toolbar icon, renders Telegram Web in a small UI attached to the toolbar popup. Moreover, you will get badge notification for all incoming messages.
Important Note: Desktop Messenger for Telegram™ does NOT belong or related to the official Telegram application at all. It is basically an unofficial extension that is developed and maintained independently. The official Telegram software is only released for smart phones and the web. This unofficial extension is a wrapper to the original Telegram and tries to make it usable as a browser extension.
Some Important Features:
1. A comprehensive Telegram client right in your browser's toolbar popup.
2. Notifies you (via badge icon text) every time something happens on Telegram within the people in your friend list.
Note: in order to submit Bugs, please use the addon's homepage (http://mybrowseraddon.com/telegram-desktop.html) and fill the Bug report form.