Duncan Castles and Jonathan Northcoft in The Times reports that contact has been made with both the Portuguese and his representatives, although they caution that friends of the former Chelsea boss suggest he is unlikely to accept the position while the possibility of managing Manchester United remains open.
That is despite uncorroborated rumours last week that it was Mourinho's people who first made contact with Everton and not the other way around. Farhad Moshiri is keen to exploit United's hesitation in making Mourinho an offer, with Old Trafford head honcho Ed Woodward leaning towards retaining Louis van Gaal for the final year of his contract.
Mourinho has been out of work since being sacked by Roman Abramovich last November but he has publicly stated his confidence that he will be in a new role by July.
Meanwhile, Paul Joyce in The Express makes the "exclusive" claim (the same is reported by the Daily Star) that David Moyes will make a "stunning return" to Goodison if Everton fail to lure Frank de Boer to the hotseat vacated by Martinez this past week.