Nicknamed "Perpetual Pedro",[1] he played for the New York Mets from 2002 to 2004, from 2006 to 2010, and in 2013, as well as in Nippon Professional Baseball for the Fukuoka Daiei Hawks in 2005.

[2] Feliciano signed with the Cincinnati Reds for the 2002 season, but was traded to the New York Mets in August along with Brady Clark for Shawn Estes.

[5] He made his MLB debut on September 4, 2002,[2] pitching two scoreless innings of relief without giving up a hit and striking out two in an 11–3 win over the Florida Marlins.

[6] The Mets designated Feliciano for assignment to make room on their 40-man roster following the conclusion of the 2002 season, and he was claimed off waivers by the Detroit Tigers on October 11.

[11] He spent the entire season with the Hawks, compiling a 3–2 win–loss record, a 3.89 earned run average (ERA), and 36 strikeouts over 37 innings pitched.

He initially started the season with the Norfolk Tides to make up for the time he had missed in spring training,[3] but he was recalled on April 17 and became a permanent fixture in the Mets bullpen as a left-handed specialist.

[25] It was eventually revealed that Feliciano had a torn anterior capsule and rotator cuff in his left shoulder, which required surgery, and ended his 2011 season.

[26][27] Feliciano began the 2012 season on the 60-day disabled list in an effort to continue recovering from his shoulder surgery from the previous year.

[2][29] He eventually made his first appearance of the season on August 2 with the Mets against the Kansas City Royals and induced a ground out from Alex Gordon in the top of the 9th inning.