The Yankees face the arch rival Boston Red Sox at 1 p.m. and the Mets will host the San Diego Padres at 1:10 p.m. Monday afternoon.
The Mets, who are hoping to rebuild a franchise that has struggled over the last several seasons, finished with a record of 74-88 last season and fourth place in the National East Division.
The Yankees went 95-67 and won the American East Division title but were bounced from the playoffs by the Detroit Tigers in the American League Division Series.
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