France international Presnel Kimpembe has asked PSG if he could explore his options away from the club.
The Blues are desperate for defensive reinforcements, and they look set to miss out on Seville stopper Jules Kounde.
Juventus have sold Matthijs de Ligt to Bayern Munich, with the Dutchman also linked with Chelsea.
According to the Sunday Times, Kimpembe made the special request to the Ligue 1 champions and even held talks with Chelsea.
PSG would welcome offers of £60m for the 26-year-old, who has been with the French club since 2005.
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