To influence or persuade someone to do something by using flattery or coaxing. She managed to wheedle her way into the exclusive club by complimenting the manager.
To obtain something from someone by artful persuasion or flattery. He tried to wheedle a few extra days off from his boss by promising to work overtime next month.
To use flattery or cajolery in order to persuade; to employ wheedling (intransitive). Stop wheedling and answer the question directly.