They will join rivals Liverpool in the hunt for the Danish international, whilst Borussia Dortmund are also interested.
Voetbal International report that Everton are aiming for the ambitious swoop as they look ahead to their summer planning.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.