Dykstra, 23, hit .241 with 16 homers and 70 RBIs in 386 at-bats last season for Class A Lake Elsinore of the California League, striking out 122 times. He is not related to former Mets outfielder Lenny Dykstra, whose son Cutter was recently traded to the Nationals.
Kunz, 24, was the Mets' top pick in the 2007 First-Year Player Draft. He was billed at the time as their closer of the future. Though he cracked the Major Leagues the following season, Kunz has since seen his career falter. He was 7-8 with a 5.34 ERA in 42 appearances (including 12 starts) for Double-A Binghamton last year.