Saints re-sign Shayne Graham, Bryce Harris, Trevin Wade

Advocate staff photo by MATTHEW HINTON-- New Orleans Saints punter Thomas Morstead (6), left, and New Orleans Saints quarterback Luke McCown (7), right celebrate with New Orleans Saints kicker Shayne Graham (3) as he celebrates his winning field goal to give the Saints a 26-24 victory in a NFL football wild card playoff game between the New Orleans Saints and the Philadelphia Eagles at Lincoln Financial Field in Philadelphia, Penn. Saturday, Jan. 4, 2014. Show caption
Advocate staff photo by MATTHEW HINTON-- New Orleans Saints punter Thomas Morstead (6), left, and New Orleans Saints quarterback Luke McCown (7), right celebrate with New Orleans Saints kicker Shayne Graham (3) as he celebrates his winning field goal to give the Saints a 26-24 victory in a NFL football wild card playoff game between the New Orleans Saints and the Philadelphia Eagles at Lincoln Financial Field in Philadelphia, Penn. Saturday, Jan. 4, 2014.

After making their first big moves of the offseason on Wednesday, the Saints have re-signed three players — including veteran kicker Shayne Graham.

Graham, a 13-year veteran who signed with the Saints on Dec. 18 after kicker Garrett Hartley was released, was scheduled to become an unrestricted free agent on March 11.

Graham, 36, signed a new one-year contract for the 2014 season with a base salary of $955,000, according to the NFL Players Association website.

He was 2-for-2 in the final two games of the regular season and connected on all four of his field-goal attempts in the Saints’ 26-24 wild-card playoff win against the Philadelphia Eagles.

Graham hit from 36, 46, 35 and 32 yards out against the Eagles — with the last one coming on the final play of the game for the win. A week later, he missed from 45 and 47 yards in tough conditions in a 23-15 loss to the Seattle Seahawks in the divisional round.

Graham has converted 85.5 percent of his field-goal attempts during his career, making 247 of 289 tries in 157 games.

The Saints also signed their two exclusive rights free agents — tackle Bryce Harris and cornerback Trevin Wade.

As two-year veterans, Harris and Wade could only re-sign with the Saints if given a one-year tender offer of $570,000 each by the club.

Harris played in all 16 regular-season games with one start at right tackle against the New England Patriots. He played extensively on special teams and also lined up as an extra tight end for blocking purposes.

Wade was signed on Nov. 19 for depth after veteran cornerback Jabari Greer suffered a season-ending knee injury. Wade played in the final two regular-season games and broke up one pass and had one tackle on special teams in two postseason games.

The release Wednesday of Greer, outside linebacker Will Smith and strong safety Roman Harper became official on the NFL transactions wire Friday.

Greer and Smith officially were released because they failed physicals. Smith had a torn anterior cruciate ligament in the third exhibition game that sidelined him for the entire season.

The Saints also announced Wednesday that they will not try to re-sign inside linebacker Jonathan Vilma, who was to become an unrestricted free agent in March. He played in only one game in 2013 after having arthroscopic knee surgery midway through training camp.