Wilson later reached a deal with the team, his agent confirmed.
The Patriots also reached an agreement with cornerback Kyle Arrington on a four-year contract, according to a league source.
Freeney, whom Patriots quarterback Tom Brady rarely passes up the opportunity to praise, had five sacks and just 12 tackles in 14 games in 2012. He recently turned 33.
Drafted 11th overall by the Indianapolis Colts in 2002, Freeney is the franchise's career sacks leader (107.5) and the only Colts player to win a league sacks title (16 in 2004), and his seven Pro Bowl appearances are tied for fifth in franchise history with Lenny Moore. The only Colts with more Pro Bowl selections are Peyton Manning (11), Gino Marchetti and John Unitas (10 each) and Jim Parker (eight). Marchetti, Unitas, Parker and Moore are all Hall of Fame members, and Marchetti is the only Colts defender to appear in more all-star games than Freeney.
Freeney was most effective in the traditional 4-3 defense, and after switching to the 3-4 for the first time last season, he saw his numbers drop.
Freeney's 2012 statistics continued a steady decline over the past few seasons. In 2011, he had 19 tackles and 8.5 sacks, which was down from 25 tackles and 10 sacks in 2010. And that was down from 2009, when Freeney had 31 tackles and 13.5 sacks.
Wilson, recently released by the Arizona Cardinals after 12 seasons with the club, has totaled 894 tackles, 27 interceptions and 25.5 sacks in his career. He is one of just six players in NFL history with 25 or more sacks and 25 or more interceptions. He also is 33.
A former third-round pick out of North Carolina State, Wilson is a five-time Pro Bowl selection and four-time All-Pro choice.
Abraham, 34, finished the 2012 season with 10 sacks as a member of the Atlanta Falcons, who recently released him due to salary-cap ramifications.
He was drafted by the Jets in the first round back in 2000 and played for them for five seasons. He has 122 career sacks in 12 seasons, including seven seasons with double-digit sacks.
Abraham has recently visited the Seahawks and 49ers.
Arrington (5-10, 195) finished last season No. 3 on the team's cornerback depth chart. His best fit has been in the slot, but he has also played on the outside.
The 26-year-old Arrington first joined the Patriots in 2009 and worked his way up from practice squad player, to special teams contributor, to a regular part of the defensive rotation (he played 75 percent of the defensive snaps last season). He also is part of the Patriots' special teams units.
With top cornerback Aqib Talib still unsigned, and uncertainty surrounding the availability of No. 2 cornerback Alfonzo Dennard, bringing Arrington back to the fold was viewed as an important piece of the team's plans.
Information from ESPNBoston.com's Mike Reiss was used in this report.