The former New York Giants star and unrestricted free agent visited the Indianapolis Colts' team complex Thursday and was still negotiating with the team Friday, a person with knowledge of the situation told The Associated Press on condition of anonymity because no deal had yet been reached.
Adding the 27-year-old Bradshaw would give the Colts depth in the backfield, if not a starter.
The three top contenders for now are former first-round pick Donald Brown, who has been injury prone; Vick Ballard, who impressed last season as a rookie; and third-year back Delone Carter, who has struggled with injuries and fumbles.
Indy currently has eight running backs on the roster, including seventh-round draft pick Kerwynn Williams and fullback Stanley Havili, who was acquired in a March trade with Philadelphia. Williams is listed at 5-foot-8, 195 pounds. But the other five backs have a combined total of six NFL carries, all by Havili last season.
In seven seasons with the Giants, Bradshaw played in 84 of 96 games, starting 33 and rushed for 4,232 yards and 32 touchdowns. He is best known for scoring the winning touchdown in the Super Bowl two years ago on an awkward flop. The play gave the Giants a 21-17 victory over New England.
Last season, Bradshaw ran for 1,015 yards on 221 carries, 4.6 yard average, and six touchdowns. After missing four games with injuries in 2012, the Giants parted ways with Bradshaw in February. He was one of a handful of high-salaried players released by the Giants as part of roster purge intended to clear up salary cap room and bring in younger talent.
Indy, meanwhile, spent much of the offseason fortifying the oft-maligned defense and an offensive line that gave up far too many hits on Andrew Luck last season. The Colts signed nine veteran free agents including right tackle Gosder Cherilus, safety LaRon Landry, guard Donald Thomas and linebacker Erik Walden. They also drafted Bjorn Werner in the first round.
But other than drafting Williams in the seventh round and trading for Havili, the Colts didn't make any other significant moves in the backfield.