Pulido played parts of three seasons in Major League Baseball, with the Pittsburgh Pirates in 1983–1984 and with the New York Yankees in 1986, appearing in 12 career games with a 1–1 record.

[1] He made his major league debut on September 5 against the St. Louis Cardinals, pitching the first two innings of the game and allowing two earned runs[2] in his only appearance that season.

He spent most of the 1984 season in the minor leagues with the Hawaii Islanders, winning 18 games, losing six, and posting an earned run average (ERA) of 2.54.

[2] On December 20, 1984, Pulido was traded by the Pirates, along with Dale Berra and Jay Buhner, to the New York Yankees for Tim Foli, Steve Kemp and cash.

After starting the season in the minors, the Yankees placed Tommy John on the injured list with a strained achilles tendon and recalled Pulido in June.