Her most widely known film role is in the 2005 Palestinian political thriller, Paradise Now. She appears in a smaller role in Ridley Scott's Body of Lies. She has a lead part alongside Maggie Gyllenhaal in Hugo Blick's 2014 BBC TV miniseries The Honourable Woman.
Azabal won the Black Pearl Award 2010 (Abu Dhabi Film Festival) for Best Actress for her role in the film Incendies. She also won the Genie Award for Best Performance by an Actress in a Leading Role at the 31st Genie Awards and the Magritte Award for Best Actress at the 2nd Magritte Awards. She starred opposite Ben Foster in the independent film Here (2011).
