Evander Holyfield had a run-in with an overeager fan after a meet and greet in Los Angeles last month ... and when the legendary boxer wouldn't sign for the guy, he began following The Real Deal, prompting a call to police.
The incident went down in Duarte -- a city in Los Angeles County -- on April 27 ... just minutes after the event, meant to be a cool opportunity for fans to interact with one of the best boxers ever, wrapped up.