The Patriots also released FB Lousaka Polite.
This is the second fullback signed in free agency. They picked up former Broncos fullback/linebacker Spencer Larsen last week.
Fiammetta, 25 was a restricted free agent and the Cowboys decided not to tender him for $1.26 million, instead trying to sign him for less money.
Fiammetta chose to test the free agent market instead.
Fiammetta, 6', 242 lbs, was drafted in the fourth round by Carolina out of Syracuse.