Thomas Tuchel has not ruled himself out of the running to become Everton's next boss, Sky Sports News understands.
Tuchel has been out of work since leaving Borussia Dortmund in May, just days after winning the German Cup final, and has stated publicly that he would like to work in the Premier League.
Until now, Tuchel has been reluctant to consider any club not playing in the Champions League, but Sky Sports News has been told he would be open to an approach from Everton.
Everton sacked Ronald Koeman on Monday afternoon and are yet to draw up a shortlist for the role, although Tuchel's odds have been slashed since the bookmakers opened their market on his replacement.
Tuchel is competing with Burnley boss Sean Dyche and Everton's own U23 manager David Unsworth at the head of the betting.
Unsworth has been placed in temporary charge of first-team affairs and will be in the dugout when Everton take on Chelsea in the fourth round of the Carabao Cup on Wednesday.
Sky Sports News understands Unsworth is the preferred candidate of chairman Bill Kenwright and also has the support of a significant number of senior players - he was also in caretaker charge last year when Roberto Martinez left the club.
Dyche says he is "flattered" by the link to the Everton job while Manchester United great Ryan Giggs threw his hat into the ring on Monday in an interview with Sky Sports.