Victor Ortiz (*after being asked a question regarding Mayweather's friendship with Justin Bieber) is CALLING OUT Floyd Mayweather ... demanding a rematch with the champ and telling TMZ Sports he'll do it FOR FREE!

The 27-year-old former WBC Welterweight champ was out in Malibu this weekend for the 2014 Nautica Malibu Triathlon ... when he issued the challenge.

FYI -- the two fought in 2011 ... with Mayweather emerging victorious after tagging Ortiz in the chin while Victor was trying to apologize for a headbutt.

"He owes me a rematch," Oritz says ... "And it's a free one from me to him."

Ortiz adds, "Mayweather, whenever you say bro ... you're the one that's calling the shots. I can't."

"I'm waiting for you."

*This article provided to Doghouse Boxing from our friends at http://www.tmzsports.com/

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