With his Blues deal expiring in June, Rudiger can now sign a pre-contract with any foreign team.
After talks before Christmas, PSG have now offered Rudiger a deal worth €7m-a-year, says RMC.
Real Madrid are also keen, though are unhappy with the demands coming from the Germany defender's minders.
It's been suggested Rudiger has been seeking €11m-a-year from interested clubs.
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