Goal understands that Wolverhampton Wanderers have rejected Everton's enquires over hiring manager Nuno Espírito Santo, who remains happy as the boss of the Championship table toppers.
Nuno leads an ambitious project at Wolves, who have spent heavily in order to aid their ambition to win promotion to the Premier League this season.
The former Porto and Valencia boss has taken his side two points clear at the top of the Championship with 35 points from 16 games.
Everton's search for a replacement for Ronald Koeman has so far been fraught with disappointment after Watford rejected their approach for Marco Silva and Sam Allardyce declared himself no longer interested in the role.
Koeman was sacked nearly a month ago by Everton with David Unsworth taking over as caretaker manager having declared himself keen on filling the vacancy on a permanent basis at Goodison Park.
Everton are now out of the relegation zone after their win over Silva's Watford side ahead of the international break. However, the club are only two points clear of safety and are out of the Europa League and Carabao Cup, after not winning any of the eight games prior to the 3-2 victory.