Frank Lampard is among a list of four candidates who will be interviewed regarding the vacant Everton job.
The Toffees axed Rafa Benitez after a poor run of form that culminated with a defeat to Norwich City on Saturday.
It leaves owner Farhad Moshiri looking for yet another new manager having only hired Benitez in the summer.
Everton languish in 16th - six points above the relegation zone.
Lampard could now be the man tasked with resurrecting their season having been out of a job for just over a year.
The former Chelsea boss was sacked in January 2021 and has since been biding his time regarding his next move.
Lampard is seen as a serious contender for the role, reports the Telegraph, with chairman Bill Kenwright set to take on a leading role regarding the next appointment.
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Wayne Rooney, who came through the Everton academy, is another man on the club's radar.
Rooney has worked impressively at Derby County, having to battle against financial restraints and a points deduction, as he tries to secure the Rams' second tier status.
His role at Pride Park is his first managerial appointment but his lack of experience has not put off his former club.
There are a further two candidates under consideration by the Everton hierarchy.
The Merseysiders have already tried and failed to bring Roberto Martinez back to Goodison Park.
The Spaniard, who led the club for three years, is now in charge at Belgium but no agreement could be struck with the country's chiefs regarding a deal that would also see him coach until the World Cup this year.
Moshiri's grand plan for Everton is yet to come to fruition despite big money being spent.
The Toffees have continued to underwhelm with several managers coming and going.
Benitez's appointment was met with heavy backlash given his prior association with rivals Liverpool.
Banners urging against the move were seen but ignored by the club's chiefs, who must now look to appoint his replacement midseason.
Benitez said following his departure: "The financial situation and then the injuries that followed made things even harder.
"I am convinced that we would have been better once the injured players were back and with the arrival of the new signings.
"The road to success isn't easy and sadly, nowadays in football there is a search for immediate results and there is always less and less patience; unfortunately circumstances have determined the results and it won't be possible to continue this project."