They were 'flinging' abuse at each other. [=they were angrily shouting insults at each other]
(..) You just put this in perspective when we get home. I'm not...I'm not going back. - I'm sorry. What? - I'm staying here, and it has nothing to do with, you know, your romantic fling; Paris is Paris. Inez, you and I, it's obvious we're not... I don't think we're right for each other. What? (..)2011 Midnight in Paris