Kim Kardashian and Reggie Bush Spotted Together

By Jennifer Garcia

08/18/2009 at 05:05 PM EDT

Are Kim Kardashian and Reggie Bush keeping up with each other?

Just three weeks after they amicably split, the pair were "all smiles" as they walked together Monday into a Ruth's Chris Steak House in New Orleans, an observer tells PEOPLE.

Why they hooked up wasn't yet known – her rep didn't immediately comment – but both were in the Big Easy on business: Kardashian had a long-planned appearance at a Dress for Success charity event and Bush is in the Saints training camp to prepare for the NFL season.

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