San Francisco police released a statement Sunday naming Smith as a suspect in a Saturday night incident in San Francisco.
Smith was detained for public intoxication past year after a auto crash with an unmarked police vehicle. Smith told reporters that he had "done nothing wrong" in the incident.
Smith turns 29 in September, but has yet to begin his sixth season in the National Football League due to suspensions for multiple substance abuse incidents.
There were three DUI allegations, a hit-and-run vandalism charge, illegal possession of an assault weapon and he was accused of making bomb threats at the Los Angeles airport.
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Smith, a first-round pick of the San Francisco 49ers in 2011 and one-time first-team All Pro, has had numerous run-ins with the law.
Smith checked into a rehab facility in 2016 after a video that appeared to show him with marijuana, although he denied it was him.
Smith played nine games for Oakland in 2015 and made 3.5 sacks.
Smith has been on the suspended list since November 2015 for violating the NFL's policy on substance abuse.
While police did not identify the victim, KGO said the altercation was between Smith and his fiancee, and that Smith allegedly escaped through the window of her fifth-floor apartment. The 28-year-old reportedly fled the scene, and police want to bring him in for questioning.
Smith has 47.5 career sacks - 33.5 of them coming in his first two seasons with the 49ers.