The Los Angeles County District Attorney's Office opted in February not to file a felony case against Peterson and instead referred the matter to the City Attorney's Office to determine if a misdemeanor case is warranted.
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Rob Wilcox with the City Attorney's Office said a "pre-filing City Attorney hearing, as an alternative to prosecution, was held on Friday.''
Peterson was arrested Feb. 13 at the airport after an alleged domestic violence incident on board a jet that prompted the departing flight to return to LAX.
At about 8:30 a.m. that day, Los Angeles Airport police responded to the alleged verbal and physical altercation between a man and a woman, according to a statement released by the airport police.
Peterson was taken into custody and booked at the Los Angeles Police Department's Pacific Division for alleged corporal injury of a spouse.
READ MORE: NFL player Adrian Peterson arrested for domestic violence at LAX after plane returns to gate: Police
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He posted $50,000 bond and was released shortly before 12:30 p.m. that day, according to jail records.
Peterson's wife, Ashley, addressed the issue in an Instagram post two days later.
"On Sunday, Adrian and I had a verbal argument. Unfortunately, it was on an airplane,'' she wrote. "At no point did Adrian hit or strike me. This is a private matter between my husband and myself. We ask that everyone respect our privacy so we can focus on what matters most: our children.''
Peterson has been in the NFL since 2007, starting with the Minnesota Vikings and eventually playing for a half-dozen other teams. He is considered among the game's top running backs of all time, winning the league MVP in 2012. He still holds the record for most rushing yards in one game, at 296.
Peterson is currently a free agent, but recently said he still hopes to sign with a team for the next season at age 37.
The video is the media player above was recorded at the time of Peterson's arrest.