The story says that the Broncos offered "either their fifth or sixth round pick" in one proposal and a player currently on their roster in the other. Reportedly, the talks are now believed to be dead. Obviously the terms being discussed there were only a run above just cutting him, but when a guy is owed $21.6 million over the next two years those are the kind of offers that the Eagles will see.
As good as Asante is, he's a 31 year old corner with a massive cap hit and only a limited market of teams that might be interested. A rebuilding team wouldn't really make sense for him. Unfortunately a team like the Broncos probably would have been a perfect fit.
There were some reports about Asante maybe being willing to restructure his deal, but don't take that to mean he's going to give up any money. He has no reason to. At best a new team would have to extend him and guarantee his money for the right to push it into later years.