She was also selected by Jim Carrey as the female lead to a sequel for the 1994 film The Mask, but negotiations fell through and Carrey eventually left the project.
Between 2001 and 2007 Morić was married to Fabrizio Corona, an owner of a photography agency, with whom she had a son, Carlos, born in 2002.
She was born in Zagreb into an upper-middle class household.