The Mets assigned Caminero to their minor-league camp Tuesday, Tim Healey of Newsday reports.
Caminero signed a minor-league contract with the Mets on Thursday, Tim Britton of The Athletic reports.
The Mariners granted Caminero his release Friday to allow him to pursue an opportunity in Japan.
Caminero allowed four runs (one earned), four hits and a walk in two-thirds of the ninth inning Friday to turn a rout into a close game that forced the Mariners to use two more pitchers, including closer Edwin Diaz.
Caminero was recalled from Triple-A Tacoma on Monday, Shannon Drayer of MYNorthwest.com reports.
Caminero was traded to the Mariners on Saturday for a player to be named.
Caminero struck out four batters in two scoreless innings Friday against the A's.
Caminero (quadriceps) was activated from the 15-day disabled list Saturday, Travis Sawchick of the Pittsburgh Tribune-Review reports.
Caminero (quadriceps) will begin a rehab assignment with Triple-A Indianapolis on Friday.
Caminero (quad) has thrown off a slope successfully and is getting close to a rehab assignment, Stephen J. Nesbitt of the Pittsburgh Post-Gazette reports.