Caretaker boss David Unsworth has stressed Everton's next permanent manager will need "time, patience, support and backing".
It seems the Toffees will soon have a new man in charge, with Unsworth on Tuesday saying "talks are ongoing" between the club and "a few people".
It is understood that includes discussions with representatives of former England boss Sam Allardyce, who had publicly ruled himself out of the running just under two weeks ago.
Shakhtar Donetsk coach Paulo Fonseca is also a candidate, according to reports, while Republic of Ireland boss Martin O'Neill's name has been mentioned as well.