The Pittsburgh Pirates have avoided year contract.
Meek endured a forgettable 2011 campaign as injuries limited him to only 24 games.
The 28-year-old right-hander was coming off an All-Star season in which he posted a 2.14 earned run average in a career-high 70 appearances.
For his career, Meek has compiled a 7-7 record with four saves and a 3.08 ERA in 144 games, all with the Pirates.
Pittsburgh also signed left-hander Doug Slaten to a minor league contract with an invitation to spring training. The soon-to-be 32-year-old has posted a 3.60 ERA in 206 career trips out of the bullpen with Arizona and Washington.