The Mets signed Meneses to a minor-league deal with an invite to MLB spring training, Jon Heyman of the New York Post reports.
Meneses elected free agency Monday, Bobby Blanco of MASNSports.com reports.
The Nationals optioned Meneses to Triple-A Rochester on Thursday.
Meneses will start at first base and bat sixth in Wednesday's game against the Tigers.
Meneses went 2-for-4 with a double, a run scored and two RBI in Thursday's win over Atlanta.
Meneses is out of the lineup for Wednesday's game against Atlanta, Bobby Blanco of MASNSports.com reports.
Meneses could be optioned to Triple-A Rochester when Lane Thomas (knee) is ready to come off the injured list, Mark Zuckerman of MASN Sports reports.
Meneses went 2-for-4 with a solo home run in Wednesday's 3-2 loss to Minnesota.
Meneses went 0-for-3 with a walk and a stolen base in Wednesday's loss to the White Sox.
Meneses went 3-for-4 with a double and an RBI in Thursday's loss to the Dodgers.