Everton majority shareholder Farhad Moshiri has held talks personally with agents for Sam Allardyce.
Everton are stepping up their push to find a replacement for the sacked Ronald Koeman after back-to-back defeats under caretaker manager David Unsworth.
The Daily Mail says Moshiri has held talks with representatives of Allardyce, though he isn't the only candidate under consideration. Burnley's Sean Dyche and Watford's Marco Silva are amongst them.
Unsworth will be in charge tonight at Europa League opponents Lyon and on Sunday against Watford ahead of the international break.
Wolves boss Nuno continues to be linked with the job.
The Guardian says talks have been held in the last day and a final decision is expected swiftly. However, the Portuguese is reluctant to leave Molineux with Wolves flying high at the top of the Championship table.