At the media conference, police detailed that there was no evidence of Padilla committing a crime, and that he cooperated with investigators.
Padilla was at Coors Field early Saturday, pitching a scheduled simulated game. He was expected to have to return to police headquarters, but only to formally bring the matter to a close.
"He may be coming back [to Coors Field] tonight," Dodgers manager Joe Torre said prior to the start of the Dodgers' game against the Rockies.
When reports of the incident first surfaced, the Dodgers said in a statement, "We are aware of the situation and are looking into it, but will not comment further on a pending legal matter."
Torre did not specifically address the incident involving Padilla, and said he had not discussed it with the pitcher before he left Coors Field for the police station.
"No, I did not, other than to hear where he was going," Torre said. "That was the extent of the conversation.
"No charges were filed," Torre added. "Nothing I need to say."
According to the original report by The Associated Press, quoting police Lt. Matt Murray, officers were called just before 4 a.m. Saturday to 18th and Curtis streets downtown, within walking distance from Coors Field, to investigate an allegation made against the pitcher.
Padilla, the Dodgers' Opening Day starter, is expected back in mid-June. Saturday's simulated game was considered an important step in his comeback. He pitched three innings in the simulated game and appeared healthy.
Padilla was signed last summer after being released by the Texas Rangers and went 4-0 down the stretch to help the Dodgers reach the postseason. He pitched the series-clinching win over the Cardinals in the National League Division Series and allowed one run in 7 1/3 innings in the Dodgers' only victory over the Phillies in the NL Championship Series.
He was re-signed as a free agent for $5.025 million during the offseason after the Dodgers were satisfied that he could pitch despite suffering a gunshot wound in what was described as an accidental incident at a shooting range in Nicaragua in November.
Padilla has been on the disabled list since April 23 with an inflamed radial nerve in his throwing arm.