Corriere dello Sport says Dybala, who is yet to agree a contract extension in Turin, is to be offered to Barca for Antoine Griezmann.
The two clubs negotiated last summer for a similar swap deal involving Miralem Pjanic and Arthur Melo.
Both clubs have been linked with these players before, but with financial concerns meaning that swap deals are more likely than ever before, the summer of 2021 may be when an agreement could be reached.
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