Kone had previously expressed his intentions to leave Wigan following the club’s relegation.
While the player is available to move to another club for £5million, Alcaraz is a free agent.
Newly appointed Everton boss Roberto Martinez has nothing but admiration for his two former Latics players, and now Kenwright has revealed that they are going to go ahead with their targets.
Kenwright, after last night’s general meeting of Everton shareholders, said: “Roberto hasn’t met the squad yet and it’s difficult for me to talk for him.
“But, like me, he thinks they are fantastic, wants to keep hold of that group and wants to bring in two or three players in positions we need them.
“He has been away and you will always find that 1 July onwards – because that’s when the current contracts end – is when it will start.
“We’ve got now, as we talk, two enquiries going on for two players.
“Roberto is back at the weekend and he’s raring to go.”
Source: Mirror FootballPublished 27 Jun 2013, 20:29 IST