Former Arsenal boss Unai Emery was approached about the Everton job, Sky Sports News understands.
An informal meeting was held in London and it is thought Emery wants more time to think about his next move following his dismissal as Arsenal head coach.
Emery is keen to continue improving his English as he sees England, as well as Spain and Italy, as viable options for his next job.
The Spanish coach is taking time out after Arsenal, but he does not want to wait too long and is already thinking about his next challenge.
Everton are on the hunt for a new manager after they parted ways with Marco Silva last week, with Shanghai SIPG boss Vitor Pereira believed to top the board’s list, Sky Sports News understands.
Chairman Bill Kenwright and majority shareholder Farhad Moshiri have drawn up a four-man shortlist, including Napoli boss Carlo Ancelotti.
