Despite interest from Napoli, Everton believe they have a strong chance as Grealish is keen to remain in the north of England for family stability.
David Moyes is reportedly willing to build his team around Grealish, offering him more creative freedom than he currently experiences at City.
The potential move is also appealing due to Everton's upcoming relocation to the Hill Dickinson Stadium and the new Friedkin ownership's readiness to invest.
Separately, Everton are in discussions with Lyon for 20-year-old Belgian forward Malick Fofana, who is valued at over £40 million and is open to a move for the right project.