Everton are looking to strengthen their midfield despite signing Carlos Alcaraz in a £12.5m deal from Brazilian side Flamengo and securing experienced Senegal international Idrissa Gueye on a new contract until June 2026, with the option of a further year.
Moyes lost Abdoulaye Doucoure at the end of June after his contract expired.
It remains to be seen if Everton follow up initial interest in McGinn, but Villa, and Emery, currently have no wish to sell the Glasgow-born player.