Bundy confirmed Sunday in an interview with Roch Kubatko of MASNSports.com that he filed his retirement papers over the winter and has ended his playing career.
Bundy threw a two-inning simulated game Tuesday, Mike Puma of the New York Post reports.
Bundy signed a minor-league contract with the Mets on Saturday, Bob Nightengale of USA Today reports.
The Twins made Bundy a free agent by declining his 2023 option Monday, Aaron Gleeman of The Athletic reports.
Bundy gave up two earned runs on five hits and no walks while striking out three over five innings in a 3-2 loss to the Tigers on Saturday. He did not factor into the decision.
Bundy (8-7) gave up seven earned runs on 12 hits and no walks while striking out one to take the loss in a 7-6 defeat against the Guardians on Friday.
Bundy (8-6) earned the win Sunday against the White Sox, striking out four over five scoreless innings. He surrendered two hits and one walk.
Bundy allowed two runs on nine hits and a walk over 4.2 innings against the Red Sox on Monday. He struck out three and did not factor in the decision.
Bundy (7-5) gave up one earned run on two hits and a walk while striking out two over 5.1 innings to earn the win in a 2-1 victory over the Rangers on Friday.