Britney Spears might be doing a classic relationship backslide … ’cause she’s hanging out with her ex Paul Soliz — just weeks after saying she’s washing her hands of the guy.

The pop star hit up the world-famous SoHo House in Malibu Tuesday, where she appeared to enjoy an outing with Paul and his family. She attempted to keep a low profile, as she wore an oversized sunhat and sunglasses for the visit … but stood out like a sore thumb.

Paul and Britney kept their distance outside the celebrity hotspot … sticking to opposite sides of the sidewalk. In fact, no sign of PDA was seen between the on-again, off-again couple — so technically, this could well just be a friendly outing.

Britney and Paul were also photographed driving in a black SUV together … clearly telegraphing that they’re, at the very least, comfortable being in one another’s presence.

 The two of them have had a rocky road in their relationship thus far. TMZ broke the story … Britney and her boo had a huge fight at the Chateau Marmont this spring — which almost resulted in Brit getting carted away in an ambulance.

BS danced around confirming the relationship drama … and instead claimed she injured her foot, nothing more. However, by June, Britney was acting pretty single … as she enjoyed a Vegas trip with her brother Bryan and ex-fiancé Jason Trawick.

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Britney made her single status public at the start of July, when she put Paul on blast for reveling in the attention from photogs.

Despite that … it would appear the two of them have put the drama behind them, at least for now. To be continued, we’re sure.