possibly v. possibilmente
Our word possibly means that there is a chance that something is capable of happening, whereas the Italian possibilmente means "if possible", as in when you would like somone to do something for you. Although they are linked in meaning, they are not the proper fit as translations of each other.
For possibly, use forse in Italian:
Eng) I will possibly be going to the states next spring.
It) Forse andrò in USA la prossima primavera.