According to Baseball America, the Mets signed 35 of their of their 49 draft picks.
Noteable signings: Steven Matz (2nd round / 72nd overall), Robbie Shields (3rd round, 103rd overall), Darrell Ceciliani (4th round, 134th overall), Darin Gorski (7th round, 224th overall), Taylor Freeman (8th round, 254th overall) and Jeff Glenn (9th round, 284th overall).
Noteable non-signings: Damien Magnifico (5th round, 164th overall), David Buchanan (6th round, 194th overall)
For the full list of draft picks that signed with the Mets, head over to Baseball America.