The Blues are only prepared to offer short-term contracts to players over 30, and as much as Sarri was keen for a reunion, Higuain felt Milan showed far more desire to sign him.
"I feel a deep joy, to stay at AC Milan makes me proud".
But the only person who wanted me there (at Chelsea) was him.
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"When I speak with players I find that because of the history Milan has, it's hard for the players to say no I don't want to come here". Everyone wanted me here. "It gave me goosebumps - it's a really special place".
"I think it (the Europa League) is one of our objectives". The Rossoneri have the right to buy Higuain for EU36 million euros at the end of the campaign.
"A new adventure begins", said Higuain after undergoing his medical.
In a straight swap-deal between the two clubs, Milan also confirmed the return of their defender Leonardo Bonucci to Juventus.
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The Chelsea head coach has admitted the pair did not speak about Hazard's future, despite ongoing links with Real Madrid . It comes after a summer of transfer rumours, with Juventus, Chelsea , Tottenham and both Milan clubs interested.
He has been given the number 9 shirt by AC Milan and will be expected to fire the club back into the Champions League.
Milan finished sixth in Serie A last season, 31 points behind champion Juventus.
"I hope to show to be at his level and to play beside him also for the national team but all these things we will need to prove on the pitch. All of them are young players with a great future, who can form a defence for many years to come".
"I knew Leonardo before and certain he had a big influence on me arriving", Higuain said.
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There is a very big card coming up in NY with numerous top guys from my division on it and I would like to join them. Also, Dillashaw said he would welcome a challenge from Cejudo, so the superfight is a possibility as well.