Hi Lorenzo,
I would try it using AE. Use corner pin /tracking to track your logo onto the screen. I`m no AE pro and not sitting in front of it right now but you should make sure AE considers translation and zoom.The resulting matchmove should leave the logo a bit larger than your screen to compensate for the bulge of the screen used in your shot. If you got your logo tracked onto the screen you then can use e.g Keylight to pull the matte for the final shot. Hope this gives a hint the right way.
Yours sincerely Hans