The two met on a flight from Los Angeles to Paris in May. After quietly spending some time together this summer, they are now openly seeing each other, reported Sun online.
"Vanessa and Guy-David have become close over the last few months, and even though they are still taking things slowly, they are dating now. Guy-David's made his feelings clear for Vanessa but told her he is happy to give her all the time she needs," a source said.
"They have been going for quiet romantic dinners in Paris and just enjoying each other and having fun. It has been a very healing thing for her. Guy-David's put a smile back on Vanessa's face, she looks younger and is even singing and writing songs again," the source added.
Paradis and Depp were in a relationship for 14 years before calling it quits in June. They have two children - Lily Rose, 13 and Jack, 10.
