Wright (3-for-6, two runs scored) went to third on Ike Davis' deep fly-out and came home when Paulino ripped a double to left, enabling the Mets to salvage one win in a three-game series with the Phillies.
Taylor Buchholz (1-0) tossed a 1-2-3 bottom of the 14th to wrap up the victory for the Mets in a game that lasted 4 hours, 44 minutes.
Mets starter Chris Young hurled seven shutout frames, yielding only two hits, but Tim Byrdak blew a save in the eighth inning when he allowed a game-tying RBI single to Ryan Howard.
Cliff Lee held the Mets to one run over seven innings, surrendering eight hits.
Celebrity Couples of 2014 [PHOTOS]