According to SI.com, the Mets' offer to Barajas -- the only 2009 everyday catcher remaining in the free-agent pool -- was a Minor League contract for low money.
If acquired, the 34-year-old would likely get the bulk of the playing time over current Mets backstops Henry Blanco, Omir Santos, Chris Coste and Josh Thole. The reports come days after general manager Omar Minaya said the Mets were finished making any significant signings.
The right-handed-hitting Barajas batted .226 with 19 homers and 71 RBIs in 125 games for the Blue Jays last season. He also threw out 29.3 percent of attempted basestealers, which was the second-best figure in the American League.
For his 11-year career, he is a .238 hitter with a .284 on-base percentage, .408 slugging percentage and 92 home runs. Besides the 2009 season, his only other time appearing in at least 120 games in a season was in '05 with the Rangers.
The Mets previously were unable to land their biggest free-agent catching target of the offseason when Bengie Molina chose to re-sign with the Giants.
Alden Gonzalez is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.