Belisario, who pitched a scoreless ninth inning of the Dodgers' 8-2 win over Seattle on Friday night, was at Dodger Stadium and in uniform for Saturday night's game with the Mariners.
According to the Times report, Belisario was pulled over at 2:27 a.m. PT by the California Highway Patrol while talking on a cell phone and officers "observed symptoms of possible alcohol intoxication" and placed him under arrest.
"Whenever a member of your organization is said to be in violation of the law, it is disappointing," said Dodgers general manager Ned Colletti. "We will provide any help we can."
After Saturday night's game, Belisario said he had no comment, but that he might have something to say on Sunday.
Manager Joe Torre said he spoke with Belisario but, "I'm not sure he can talk until he gets somebody that can help him make sure he answers the questions. I'm not sure he's allowed to address the legal matter."
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.