persuade vs win over

persuade and win over both are verbs.

Word	Noun	Adjective	Verb	Adverb
persuade	No	No	Yes	No
win over	No	No	Yes	No

As verbs, win over is a hyponym of persuade; that is, win over is a word with a more specific, narrower meaning than persuade:

persuade: cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm
win over: make (someone) agree, understand, or realize the truth or validity of something

persuade (verb)	win over (verb)
cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm	make (someone) agree, understand, or realize the truth or validity of something
win approval or support for