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Rihanna and A$AP Rocky put on a show for photographers and passersby Thursday ... making out on the streets of Paris.

Check out the pics ... the power couple stayed warm in matching fur coats and a cozy embrace after a romantic dinner at the swanky Cesar restaurant. Backgrid

The two kissed under the Parisian night sky, lit only by street lamps and camera flashes eager to capture the sweet moment.

The couple's epic date night comes after they just welcomed their third child , daughter Rocki , September 13. Rocki joins older brothers RZA , 3, and Riot , 2. Backgrid

There's no word yet on whether wedding bells are in their future or not, but they would no doubt make one heck of a good-looking bride and groom.

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