Wolverhampton Wanderers have drawn with Everton and Manchester City at home in the Premier League this season.
Everton drew with Bournemouth in the Premier League on Saturday.
Everton signed Yerry Mina among other players in the summer transfer window.
Michael Ball explains why Newcastle United manager Rafael Benitez and Manuel Pellegrini are not right for Everton.
Mikel Arteta has been linked to the Everton job of late.
Steven Gerrard recently signed a four-year deal to become Rangers manager.
Allardyce has been the centre of criticism for Everton fans since his arrival.
Everton have been linked with a move for PSV technical director Marcel Brands.
Graeme Murty’s Glasgow Rangers lost on Sunday, and former Ibrox stars Michael Ball and Lee McCulloch were not impressed.
Everton drew with Liverpool at Goodison Park in the Premier League at the weekend.