Former Chelsea boss Carlo Ancelotti is open to a return to the Premier League.
The Daily Star says the news might be of interest to Everton.
The Toffees are still managerless after sacking Ronald Koeman last month.
Everton have been linked with Watford boss Marco Silva and Sam Allardyce who is unattached after quitting Crystal Palace.
Calciomercato.com reports the 58-year-old now wants to think carefully about his next move.
Ancelotti was dismissed by Bayern Munich in September after a disappointing start to the season.