Leonardo DiCaprio, Blake Lively

Splash News

Hmmm, we totally thought this couple was down for the count (and we still stand by that it's only a matter of time), but it appears Leonardo DiCaprio and Blake Lively are continuing to give this relaysh a chance.

And in their first smart move yet: not so publicly this time!

While just this morning a supersolid Leo source confirmed to us that "the breakup rumors are not true," this afternoon we got word of a sly sighting of DiLively shopping together at Solstice Sunglass Boutique at the Paseo Nuevo Mall in downtown Santa Barbara.

And the duo were not pleased when fans spotted them…

Too bad they couldn't just hide behind some stylish shades!

"They came in and looked around, but then they got skittish when some girls noticed them," a Solstice store employee dishes to us. "They basically looked at each other and realized they were being watched by a few girls and almost ran out of the mall."

Ha! How out of character for the usually camera-happy couple. They can flaunt their romance in Europe but prefer to fly under the radar in their homeland?

But is the honeymoon phase already over for this twosome?

"There was no PDA, and they didn't talk to anyone in the store," the employee tells us, adding that Leo leaned against a sunglasses case while texting on his phone as his Lively lady looked around for some shades.

And while the couple were only in the store for about 10 minutes, both made sure to go undercover.

"Blake was dressed in a white summer dress, scarf and a hat with a small brim, and Leo was also wearing a baseball cap with a casual T-shirt," adds another source.

Looks like the glasses/hat combo is getting tired, kids. Time for a new disguise if this relaysh is going to last!

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