Everton are in talks with former Wolves manager Nuno today.
Sky Sports says Everton are moving quickly after losing Carlo Ancelotti to Real Madrid on Tuesday.
Everton have opened talks with Nuno and his representatives today.
For now, he remains in Portugal, having held a series of talks this week with Crystal Palace.
David Moyes, who managed at Goodison between 2002-2013, would be welcomed back by many Evertonians and also enjoys support with Goodison's boardroom, after an impressive season at West Ham.
Moyes' family home remains in Lytham St Anne's and is yet to sign a three-year extension to his contract on offer from West Ham.
