The Collaborative International Dictionary of English v.0.48:

Inveigle \In*vei"gle\, v. t. [imp. & p. p. Inveigled; p. pr. &
   vb. n. Inveigling.] [Prob. fr. F. aveugler to blind, to
   delude, OF. aveugler, avugler, avegler, fr. F. aveugle blind,
   OF. aveugle, avugle, properly, without eyes, fr. L. ab +
   oculus eye. The pref. in- seems to have been substituted for
   a- taken as the pref. F. [`a], L. ad. See Ocular.]
   To lead astray as if blind; to persuade to something evil by
   deceptive arts or flattery; to entice; to insnare; to seduce;
   to wheedle.
   [1913 Webster]

         Yet have they many baits and guileful spells
         To inveigle and invite the unwary sense. --Milton.
   [1913 Webster]

WordNet (r) 3.0 (2006):

inveigle
    v 1: influence or urge by gentle urging, caressing, or
         flattering; "He palavered her into going along" [syn:
         wheedle, cajole, palaver, blarney, coax, sweet-
         talk, inveigle]

Moby Thesaurus II by Grady Ward, 1.0:

48 Moby Thesaurus words for "inveigle":
   allure, bait, bait the hook, birdlime, blandish, cajole, catch,
   catch out, coax, decoy, draw, draw in, draw on, enmesh, ensnare,
   ensnarl, entangle, entice, entoil, entrap, enweb, flirt,
   flirt with, gin, give the come-on, hook, hook in, lead on, lime,
   lure, mesh, net, noose, offer bait to, rope in, seduce, snare,
   snarl, sniggle, spread the toils, suck in, tangle, tempt, toll,
   trap, trip, wind, woo