Hanley Ramirez had two hits, an RBI and stole home for the Dodgers, while Matt Kemp went 0-for-2 in his Cactus League debut.
Chase Headley, Nick Hundley and Jonathan Galvez each had a pair of hits for San Diego, which collected seven doubles among 14 hits.
Ramirez, who had already stolen second base, was on the front end of a double-steal with Nick Punto in the third inning to give the Dodgers a 3-2 lead off Padres starter Freddy Garcia, who allowed three runs on four hits and two walks in 2 2/3 innings.
The Dodgers scored two runs in the second inning on RBI hits by the Ellises, a single by Mark and a double by A.J.
San Diego knocked around Dodgers starter Zack Greinke for two runs on five hits, four of them for extra bases, in three innings. But Greinke was bailed out of further damage by a pair of double plays, one he started on a bases-loaded comebacker by Yonder Alonso to end the third inning.
The Dodgers extended their lead to 4-2 in the fourth inning on Ramirez's two-out RBI single. Casey Kelly relieved Garcia and allowed one run in 2 1/3 innings.
Kemp, in his first game since October shoulder surgery, grounded to third and struck out as designated hitter.
Decker lifted a sacrifice fly to left field to score a go-ahead run in the seventh inning. But C.J. Retherford followed with a solo homer in the bottom of the inning to forge a tie.
Padres up next: The Padres travel to Goodyear on Saturday to meet the Indians at 12:05 p.m. PT, aired live via an exclusive free audio webcast. Edinson Volquez will get the start with bullpen arms Joe Thatcher, Tommy Layne and Dale Thayer also slated to pitch. In his first outing of the spring, Volquez tossed two scoreless innings, allowing two hits and a walk while striking out four batters. Saturday will be Volquez's last appearance for San Diego before reporting to Team Dominican Republic's camp for the World Baseball Classic.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.