I'm not very familiar with browser extensions and before I begin to deeply explore them I have a few questions.
Let's say the extension injects JavaScript in the current website the user is visiting (if that's even possible). That injected JavaScript code will get, let's say the current URL for example purposes, and send it and store it on a database. Next time the user visits the same website, the user will get an extension notification informing that is the second or third or X time he or she has visited the same website.
Now that I have gave you the scenario, is the following possible? Injecting JavaScript from a browser extension to the current visiting website. If so, can I make some AJAX communication with the JavaScript and a PHP server?