Alter Form Entry List

Hello,

I am trying to create a third party integration and i'm wondering how i would be able to modify the back-end entries view to include a button that says Send entry to X third party.

Then the button is clicked an ajax request would be triggered and the entry info will be passed along using curl.

So far i'm having trouble locating what hook i need to use in order to alter the table view.

More details in the attached screenshot.

Thanks!