The Mets signed Devenski to a minor-league contract with an invitation to spring training Monday, Anthony DiComo of MLB.com reports.
Devenski, who turns 34 next month, held a 6.75 ERA and 24:14 K:BB over 26.2 innings for the Rays this season before finishing the year in the minors with the Mariners. He will compete for a bullpen job in spring training.