Southampton manager Ronald Koeman
The Toffees chose to sack manager Roberto Martinez last month, as a second disappointing season in a row cost the Spaniard his job at Goodison Park.
A host of big-name managers have been linked with the job ever since, but an appointment appears to be close, according to various reports over the weekend.
The Daily Mail report that Southampton boss Ronald Koeman is poised to make the switch from the South Coast to Merseyside, with a compensation fee of around £5m being paid by the Toffees.
It's an ambitious appointment considering how the Dutchman has guided Southampton to higher finishes than Everton in each of the last two seasons, and Everton have new major shareholder Farhad Moshiri to thank.
Moshiri is believed to have made Koeman his first-choice target for the job, and he appears to have got his man in a huge appointment - but not everybody at Goodison Park shared his feelings.
The Daily Mail's report claims that some officials inside the club wanted Unai Emery to get the job instead, but Moshiri pushed for Koeman to take the reins.
Emery, 44, has become a European mastermind in the last few years, as he and his Sevilla side have won the Europa League in each of the last three seasons.
That's a record-breaking feat for the Spaniard, who has bounced back from a difficult spell in Russia with Spartak Moscow, so it's unsurprising that he won admirers at Everton.
However, Emery didn't get the job, and the report adds that he could in fact be in contention to replace Koeman at Southampton - and if he does secure that role, it will be fascinating to see how they both fare in their respective jobs, given how their careers would be intertwined from here on in.
Would you have preferred Koeman or Emery?