Former first-round pick Brandon Graham is one of seven Eagles scheduled to become an unrestricted free agent on Tuesday, but the team that selected him could be making a late push to retain his services.

Per Dianna Marie Russini of NBC4 in Washington D.C., the Eagles and the New York Giants are the finalists for Graham's services.

Graham presents an interesting scenario for the Eagles. He made the conversion from 4-3 defensive end to 3-4 outside linebacker two years ago and had 5.5 sacks in a reserve role in 2014, which tied a career high. Graham is also a key special teams player with 15 tackles over the past two seasons.

After playing 499 snaps last season, can Graham become a full-time starter? Connor Barwin played 1,007 snaps and Trent Cole was on the field for 800 last season. Graham could also be interested in being a 4-3 defensive end again, which is what he would be with the Giants.