WordNet (r) 3.0 (2006):

win over
    v 1: make (someone) agree, understand, or realize the truth or
         validity of something; "He had finally convinced several
         customers of the advantages of his product" [syn:
         convert, win over, convince]

Moby Thesaurus II by Grady Ward, 1.0:

48 Moby Thesaurus words for "win over":
   argue into, assure, be convincing, bring around, bring home to,
   bring over, bring round, bring to reason, captivate,
   carry conviction, charm, con, convert, convict, convince, draw,
   draw over, drive home to, evangelize, gain, gain over, get, hook,
   hook in, ingratiate, inspire belief, lead to believe, outtalk,
   persuade, prevail, prevail on, prevail upon, prevail with, prompt,
   proselyte, proselytize, satisfy, sell, sell one on, sway,
   talk into, talk over, talk to, wangle, wangle into, wean,
   wear down, win