Rafael is keen to move to Serie A after Louis van Gaal omitted him from Manchester United's squad for their pre-season tour of the United States.
The right-back has been told by Van Gaal that he does not figure in the club's plans and is consequently keen on a move to Serie A.
The 25-year-old's agent says a move to Italy would interest the Brazilian, who would not be classified as a non-EU signing due to him holding a Portuguese passport.
Cassiano Pereira told Tuttomercato.web: "His contract expires in June 2016 and the coach, Van Gaal, said he isn't counting on him, so the player wants to leave and we are talking with more than one club about this.
"Roma would be a more than welcome destination
"We would be more than happy to talk to the capital club. Italy would be a great opportunity, particularly as he has a Portuguese passport.
"We are in contact with several clubs, but I can't reveal them.
"If Fiorentina call us, we'll be very happy to talk. The player is very interested in playing in Italy."