Blevins, 32, received a one-year contract with a $4 million base salary and $1 million in incentives.
Blevins had been acquired from the Washington Nationals on the eve of Opening Day for outfielder Matt den Dekker. Batters then went 0-for-15 against him -- lefties 0-for-14 -- before Blevins suffered a fractured left forearm when he was struck with a line drive on April 19 off the bat of Miami's Dee Gordon.
When Blevins was nearing a return during the summer, he refractured the forearm in a fall off a curb in Port St. Lucie, Florida. That ended his season.
The Mets were looking to add a dependable left-handed reliever to pair with Josh Edgin. Edgin is returning from Tommy John surgery and should be ready on -- or sometime near -- Opening Day.