The Croatia midfielder comes off contract at the end of the season.
Tuttosport says the player's father, Ivan, who is also his agent, is set to meet the Italian club this week to discuss a new contract.
The Blues continue to monitor the situation and should they find out talks between Brozovic's camp and Inter aren't progressing well, they are ready to pounce.
In order to convince the San Siro star, the west London club are ready to offer him a hefty package.
With Chelsea in the background, the Nerazzurri must be cautious when negotiating with the midfielder's entourage
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