Joseph signed a split contract with the Mets on Thursday, Jon Morosi of MLB Network reports.
Davis worked with Mets hitting coach Chili Davis over the offseason to correct some issues in his swing, Anthony DiComo of MLB.com reports.
Smith (not injury related) arrived at spring training Wednesday, Deesha Thosar of the New York Daily News reports.
Diaz expects to close games for the Mets this season, though the team hasn't named an official closer and may not do so, Anthony DiComo of MLB.com reports.
Carrasco was absent from the start of the Mets' full-squad workouts Monday but is not battling an injury, Anthony DiComo of MLB.com reports.
Smith missed the Mets' first day of full-squad workouts but is not dealing with any injury, Anthony DiComo of MLB.com reports.
Heredia was designated for assignment by the Mets on Sunday.
Peterson may not begin the season in the rotation due to workload concerns and the Mets' offseason additions, Anthony DiComo of MLB.com reports.
Lucchesi went to Driveline during the offseason in an effort to smooth his delivery and better his mechanics, Tim Healey of Newsday reports.
Syndergaard (elbow) was placed on the 60-day injured list Friday.
Walker agreed to a two-year, $20 million contract with the Mets on Friday, Joel Sherman of the New York Post reports.
Davis could be headed for a utility role this season after Mets manager Luis Rojas wouldn't commit to him as the team's starting third baseman during Wednesday's press conference, Deesha Thosar of The New York Daily News reports. "It's really tough right now to commit to any role," Rojas said. "I've got to stick with our versatility. J.D. is a guy that's played left too. We're thinking of that. He improved a lot at third base. But we want to keep that versatility always open. Multiple guys are going to play multiple positions. That's where our roster is."
Syndergaard (elbow) looked good while throwing a bullpen session Wednesday, Justin Toscano of The Bergen Record reports.
Oswalt cleared waivers Tuesday and was outrighted to Triple-A Syracuse on Tuesday.
Pillar agreed to a contract with New York on Monday, Andy Martino of SNY.tv reports.
Hunter signed a minor-league contract with the Mets on Sunday that includes an invitation to major-league spring training, Tim Healey of Newsday reports.
Montgomery signed a minor-league contract Sunday with the Mets that includes an invitation to big-league spring training.
Lugo will undergo surgery to remove a loose body from his right elbow Tuesday, Mark Feinsand of MLB.com reports.
Brach was designated for assignment by the Mets on Thursday.
Sanchez was designated for assignment by the Mets on Wednesday, Anthony DiComo of MLB.com reports.
Oswalt was designated for assignment by the Mets on Wednesday, Anthony DiComo of MLB.com reports.
Lee was acquired by the Mets on Wednesday as part of a three-team trade that sent Andrew Benintendi to the Royals and Franchy Cordero to the Red Sox, Jeff Passan of ESPN.com reports.
Villar and the Mets agreed to a contract Tuesday, Tim Healey of Newsday reports.
Almora agreed Sunday with the Mets on a contract, Anthony DiComo of MLB.com reports.
The Mets designated Garcia for assignment Monday, Tim Britton of The Athletic reports.