Pretty sure he has a black belt in judo. Not 100% though.
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He's a 4th Dan Judoka and former member of the Cuban Olympic Judo team. That's sort of as high as you can get in competitive Judo. BUT that doesn't tell that much about his ground skills. In Judo you don't do that much ground fighting. There are submissions, but in competition it's mostly mat holds (as you can win if you pin someone down on his back for a certain amount of time). In particular in upper weight classes.
Lombard has BJJ black belt though. So he won't be like a fish out of water when it hits the ground.