Jose Mourinho is reportedly looking to bolster his attacking line and sees the Argentina international as the perfect addition.
The Sun reports that Dybala is already wanted by the likes of Manchester City, Real Madrid and Barcelona, with Juve reportedly unwilling to accept any bids under the £50 million mark.
When asked about the links with the Liga duo, the 23-year-old told reporters on Wednesday: "Barcelona or Real Madrid? There's no offers, for me there are no problems for the renewal.
"I'm fine at Juventus, my agent will be in Turin in the coming days for the renewal.
"I'm thinking only about Juventus."
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