1. to entice, lure, or ensnare by flattery or artful talk or inducements (usually fol. by into): to inveigle a person into playing bridge.
2. to acquire, win, or obtain by beguiling talk or methods (usually fol. by from or away): to inveigle a theater pass from a person.
Althought it took them a while, the class inveigled their teacher into making their paper due two days later.