Cleveland also is said to be involved in trade talks with the Saints, but two team officials have denied reports that the Browns' offer includes their 2002 No. 1 pick. The Dolphins are willing to give up this year's first-rounder, and that appears to give them the edge in the battle to land the two-time 1,000-yard rusher.
As for Edwards, he worked out for the Dolphins for the second time in recent days, following a previous workout in early January.
After three years away from the NFL, it's unrealistic to expect much from Edwards given the catastrophic nature of his injury, which almost required the amputation of his lower left leg.
In his only season in the NFL, however, Edwards showed plenty of ability as he rushed for 1,115 yards and nine touchdowns with 35 catches and three more scores.
Edwards also became the first player in NFL history to score a touchdown in each of his first six professional games.