"Electronics and Communications Engineering" equivalent in the U.S.A I graduated from a European University with a Bachelor of Science Degree (Engineering Degree) and I'm about to move in the United States.
My specialization/ major would be Telecommunications Engineering. 

What is the US equivalent of this ? I've noticed US colleges usually have EE(Electrical Engineering programs), which is the closest I've found.
Electrical engineering and (when it exists) electronics engineering usually cover telecommunications, as well as many other topics. Undergraduate degrees in NA are usually broader in scope than those in Europe.

But it wouldn't try to change the terminology of your own major: keep it as telecommunications engineering if that's what it is, and everyone will understand.