come off vs fall out

come off and fall out both are verbs.

Word	Noun	Adjective	Verb	Adverb
come off	No	No	Yes	No
fall out	No	No	Yes	No

As verbs, fall out is a hypernym of come off; that is, fall out is a word with a broader meaning than come off:

Other hypernyms of come off include come about, go on, hap, happen, occur, pass, pass off, take place.

come off (verb)	fall out (verb)
happen in a particular manner	come to pass
come to be detached	have a breach in relations
break off (a piece from a whole)	drop out
	leave (a barracks) in order to take a place in a military formation, or leave a military formation
	come as a logical consequence; follow logically