Parker defends his WBO World Heavyweight title against Fury in Manchester on September 23, with the winner placing themselves in prime position for a showdown with WBA and IBF champion Joshua.
Joshua has a rematch against Wladimir Klitschko and a challenge from IBF mandatory challenger Kubrat Pulev to get through first, but the promoters of both Joshua and Parker met on Tuesday (NZ time) to talk up a showdown between their two prize fighters in 2018.
Joseph Parker's team met Anthony Joshua promotor Eddie Hearn to discuss a potential fight next year.
