The Argentine star is out of contract in 2022, and no extension has been agreed between the two parties.
Juventus director Fabio Paratici gave an update on the situation, telling reporters: "Paulo still has a few problems - it's like he's on a swing. Some days he's better and others he's worse. He seemed okay [last week], then he felt some pain again.
"We have spoken [about this contract], we have been speaking and will continue to speak in the next few days and months."
AndGoalsays the three aforementioned Premier League clubs are keeping on developments in Turin.
27-year-old Dybala was linked with an exit from Juve last summer.
He has spent six years with the Bianconeri, scoring 98 goals in 244 appearances.