01/20/2012 at 04:00 AM EST
As news broke that her relationship with Johnny Depp
is on the rocks
, Vanessa Paradis stepped out solo in Paris.
was snapped shopping at FNAC, a music and book store near the Arc de Triomphe, on Thursday. She purchased a DVD set – which included The Seven Year Itch
– and art tomes, one featuring Picasso.
Multiple sources tell PEOPLE in this week's cover story that Depp, 48, and Paradis, 39, have all but officially ended their relationship. The couple
of nearly 14 years have two children, Lily-Rose, 12, and Jack, 9, together.
Depp was last seen attending the Golden Globes
alone on Sunday. The pair has not appeared side-by-side on a red carpet for more than a year. He was then spotted at the Hollywood Museum on Thursday.
Paradis' new film Café de Flore
will screen in Paris on Monday, and the actress is expected to attend the event.