The Blues are in contact with Napoli about a price for the Nigeria international.
Sky Italia's Gianluca di Marzio is reporting: "Not just PSG on Victor Osimhen, there have also been initial contacts with Chelsea."
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Di Marzio states the Blues are "trying to understand the feasibility" of the signing.
Napoli wants 100m cash plus two Blues players, with Romelu Lukaku, currently on-loan with AS Roma, a priority target.
Cesare Casadei is another that Napoli are keen on.