George Lombard put the Dodgers ahead with a home run at the top of the third inning, powering the ball over the right field fence, but the Padres struck back when a wild throw from catcher Lucas May allowed second baseman Oscar Robles to sneak home from third base in the bottom of the fourth.
The Dodgers went back in front two innings later when May atoned for his error with a single and Andruw Jones, new $36.2 million outfielder, put the LA team further ahead when he sent Matt Kemp home in the eighth.
However Adrian Gonzalez, Padres, infielder drove Craig Stansberry and Scott Hairston in with a double at the bottom of the eighth to make it 3-3.
"I thought it was closer to a regular season game than other exhibitions."
LA Dodgers manager
Major League Baseball (MLB) has ambitious plans to make the sport as popular with the Chinese as it is with their neighbours in Taiwan, Japan and South Korea.
Torre was particularly pleased with the performance of Park Chan-ho, the Dodgers' Korean pitcher, who has returned to LA in an attempt to resurrect his injury-hit career.
"I thought it was not a good but a great outing," said Torre, former New York Yankees manager.
"He gave up one run but it was a freak thing.
"I think he was in command of his stuff all day."
The teams play another exhibition at the same stadium on Sunday.