Everton are still looking for a permanent replacement for Ronald Koeman after he was dismissed as manager last month following a series of poor results.
The Dutchman struggled for any kind of consistency from the Toffees, despite bringing in the likes of Jordan Pickford, Gylfi Sigurdsson and Davy Klaassen in big-money deals.
With the club currently in a relegation battle - even this early on in the season - the board have gone after managers proven to get teams out of trouble; Sam Allardyce has never suffered the drop from the top flight as a manager, and the odds on him cutting short his retirement to take charge at Goodison Park have coem in from 17/2 (9.50) to 6/5 (2.20) in the last few days.
The man known as Big Sam was in charge of Crystal Palace for the second-half of last season and guided the club to safety after a rocky start to the campaign under Alan Pardew saw the Eagles flirt dangerously with relegation, making him a prime candidate for the vacant Everton job.
The Toffees' clear target, however, has been Sean Dyche, who is the current 10/11 (1.91) favourite - having shortened from 9/2 (5.50) since 30 October. The Burnley boss celebrated a successful five years at the Lancashire club on Monday when his side rose to seventh with a 1-0 win over Newcastle, putting them 11 places above the side trying to convince him to take the reigns.
Owner Farhad Moshiri has big ambitions for the club, though, and might look for a high-profile name, such as Carlo Ancelotti - who is a free agent after being sacked by Bayern Munich in September - who is available at 33/1 (34.0), whilst Rafa Benitez can also be found at the same price
Elsewhere, current caretaker manager David Unsworth is priced at 10/1 (11.0) to take the club on permanently - although he will be settled as a winner by most bookmakers if he oversees 10 games in his current role - with Watford manager Marco Silva also offered at the same price by the bookmaker.
Former Borussia Dortmund manager Thomas Tuchel, who has been out of a job since leaving the German club in May, can be backed at 25/1 (26.0), whilst Wales manager Chris Coleman is also priced at 25/1 (26.0) as he continues to mull over his future following the Dragons' failure to reach the 2018 World Cup .
An outside shout at 50/1 (51.0) would be current Huddersfield Town head coach David Wagner, who encourages the attacking, high-tempo football that Evertonians like, but would take some prying away from the Yorkshire club thanks to their terrific start to Premier League life.
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