There's considerable 'disagreement' between the descriptions given by the two witnesses. [=the two descriptions do not agree/match]
He has expressed 'disagreement' [=he has said that he disagrees] with some aspects of the proposal.
We've had a number of serious 'disagreements' [='disputes', 'arguments'] over the years.
(..) Come on! What's the matter with you tonight? Yes, perhaps that was it. Perhaps he was ill. Unless, of course, he had disagreements. - I mean, with government policy. - GRANDPA: One hears of such men. Disturbed, most of them, or just plain cowards. FATHER: Even so, all of them traitors. (..)2008 The Boy in the Striped Pajamas