Everton hope to take Roberto Martinez off Wigan Athletic hands when David Moyes leaves for Manchester United in the summer.
The Daily Mail says Phil Neville is also a serious rival for the role.
As Moyes and Everton chairman Bill Kenwright thrashed out the details of his departure in London on Wednesday, it emerged that the Wigan manager is likely to take the reins at Goodison Park this summer.
The popular Spaniard has led unfashionable Wigan to Saturday's FA Cup final against Manchester City and has somehow kept the Latics in the Barclays Premier League in recent seasons as they pulled off a series of great escapes.