The Italian giants will also target Marco Veratti.
Tottenham's Harry Kane warms up before the match
Corriere dello Sport is reporting that Spurs striker Kane and Paris Saint-Germain midfielder Marco Verratti are the club’s two top targets for the winter window as they look to stamp their authority back on the European transfer market.
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Milan are set to receive a huge cash injection from a Chinese investment group and want to push themselves back into Europe’s elite after falling out of favour in recent times.
The report claims that Milan believe Kane can be the club’s next Marco van Basten and will be going all out to bring him in either in January or next summer.
England's Harry Kane in action
Of course Kane does not look like leaving Tottenham anytime soon.
Spurs are fairly adamant that he is not for sale, something they reportedly told Napoli this summer.
It is believed he is in the process of a new contract deal with Spurs that would make him the club’s highest paid player and the club do not want to sell him at any cost.
But Milan will be hoping they have the financial clout to coax both Spurs and Kane into a sale.