The couple - who have two kids, Lily-Rose, 13, and 10-year-old Jack, together - announced the end of their 14-year relationship last week.
Vanessa Paradis, it has been claimed Johnny Depp has been romancing Amber Heard.
Johnny Depp and Amber Heard (R) attend the 'Rhum Express' Paris Premiere at Cinema Gaumont Marignan in Paris, France. (GETTY/GALLO)
Johnny Depp and Amber Heard (R) pose as they attend the 'Rhum Express' Photocall at Hotel Paris Plaza Athenee in Paris, France. (GETTY/GALLO)
Johnny Depp and Amber Heard attend The UK Premiere of 'The Rum Diary' at in London, England. (GETTY/GALLO)
Actors Amber Heard (L) and Johnny Depp attend the 'The Rum Diary' New York premiere at the Museum of Modern Art on October 25, 2011 in New York City. (GETTY/GALLO)
Amber Heard attends the 'Schiaparelli And Prada: Impossible Conversations' Costume Institute Gala at the Metropolitan Museum of Art in New York City. (GETTY/GALLO)
Actor Johnny Depp and girlfriend Vanessa Paradis attend the 9th Annual Critics' Choice Awards at the Beverly Hills Hotel, January 10, 2004 in Beverly Hills, California. (GETTY/GALLO)