The 23-year-old has had a superb season in Serie A after Atalanta made his loan from Benfica permanent earlier this year.
It is understood Cristante’s representatives met with Premier League clubs in London two weeks ago and the player is keen on a move to England.
But a source has said there is also interest from Italy’s top clubs as well as Borussia Dortmund in Germany.
Cristante came through the Milan youth ranks and played for the first team in the Champions League aged 16.
He was snapped up by Benfica for nearly £5m in 2014 but made only six league appearances in Portugal, and spent time back in Italy on loan at Palermo and Pescara.
He has emerged as a bright prospect this season, scoring 12 goals in 44 appearances, and broke into the national side with his first cap last October.
Cristante also has a Canadian passport and speaks good English, and was wanted by the Canadian national team despite representing Italy at every youth level from U16 to U21.
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