A trade for Samuel would provide a highlight to what has been a relatively quiet offseason for the Falcons, who have worked to retain their free agents instead of making a splash through trades or free agency.
The Falcons have six picks but no first-round selection in the NFL draft.
Samuel, 31, is a four-time Pro Bowl pick. He would give the Falcons' new defensive coordinator Mike Nolan a strong trio at cornerback with Dunta Robinson and Brent Grimes, who Tuesday signed his franchise tag tender. Grimes will make $10.262 million this season.
Samuel's contract calls for him to earn $9.9 million in 2012 and $11.4 million in 2013. He might rework the deal to help the trade fit the Falcons' salary cap.
The Falcons began their offseason program on Monday.
Falcons general manager Thomas Dimitroff was New England's director of scouting when the Patriots selected Samuel in the fourth round in 2003. Samuel set a career high with 10 interceptions for the Patriots in 2006.
An Atlanta trade of one or more draft picks for an established veteran such as Samuel would be another sign Dimitroff's focus is on 2012 instead of the future.
That's fine with quarterback Matt Ryan.
"I'm certainly in a win-now mode," Ryan said Tuesday. "I think that's the only way you can approach the NFL. Every time you suit up and every time you play, it's for one reason and that reason is to win."
Ryan said Samuel, who had 30 tackles and three interceptions in 2011, has been a difficult opponent.
"As far as Asante Samuel, I can only speak for having played against him a number of times and I know that's he's been extremely difficult to play against and has done a great job against us when we've played him in the past," Ryan said.
The Falcons were 10-6 last season and 13-3 in 2010 but lost their first playoff game each season. An improved secondary would boost the team's hopes for 2012.
Falcons linebacker Sean Weatherspoon called Samuel "a player who would improve anyone's defense."
Samuel has 45 career interceptions in nine seasons. His three interceptions in 14 games last season was his low total since 2005.
Dimitroff was preparing for the draft and was not available for comment on Tuesday.
Information from The Assocaited Press was used in this report.