The Oscar winner and the Canadian model are reportedly in negotiations to work out a custody agreement regarding their 2-year-old daughter Nahla, TMZ.com reports.
Berry, 43, and Aubry, 34, met at a Versace store opening in Manhattan in February 2006. Their daughter was born two years later.
In February 2009, Berry told Essence magazine about motherhood, "I'm complete. I have more to offer my craft because [my daughter] makes me indelibly better every day." That same month, Aubry told PEOPLE that Nahla "needs a sibling. I think it's important."
Berry’s rep couldn’t be reached for comment.
RadarOnline was first to report the story.
Meet Sandra Bullock's baby! For the whole story – including photos of her son Louis, an emotional interview about her breakup with Jesse James and her life as a new mom – pick up the new issue of PEOPLE, on newsstands Friday