Synonyms for Suggestion (same or very similar meaning)
WordNet sense 1 (a just detectable amount):
hint, traceWordNet sense 2 (persuasion formulated as a suggestion):
promptingWordNet sense 3 (a proposal offered for acceptance or rejection):
proffer, propositionWordNet sense 4 (the act of inducing hypnosis):
hypnotism, mesmerismFrom the ODE community, based on WordNetadd/edit