The Bills spoke to at least one team this week about a trade for the quarterback they benched in favor of Ryan Fitzpatrick.
It is not the first time Edwards' name has come up in trade talks. Buffalo debated dealing him during the offseason, before it opened up the quarterback competition that Edwards eventually won.
In two games, Edwards went a combined 29 of 42 for 241 yards passing with a touchdown and two interceptions. He was sacked seven times.
Bills coach Chan Gailey defended Edwards when he made the switch this week, saying the lack of production is not all his fault. He wouldn't, however, rule out the switch being permanent by saying Fitzpatrick's "going to take the reins and see where that takes us."
This marks the second time Edwards has been benched after being replaced by Fitzpatrick midway through last year.
It also marks the Bills' fifth in-season change at quarterback in six years for a team that hasn't had a regular starter since Drew Bledsoe's three-year tenure ended in 2003.
Adam Schefter is ESPN's NFL Insider. Information from The Associated Press was used in this report.