1. To win over by coaxing, flattery, or artful talk. See Synonyms at lure.
2. To obtain by cajolery: inveigled a free pass to museum.
[Middle English envegle, alteration of Old French aveugler, to blind, from aveugle, blind, from Vulgar Latin *aboculus : Latin ab-, away from; see ab-1 + Latin oculus, eye (probably loan-translation of Gaulish exsops : exs-, from + ops, eye); see okw- in Indo-European roots.]
persuade – cause somebody to adopt a certain position, belief, or course of action; twist somebody’s arm; “You can’t persuade me to buy this ugly vase!”