The 22-year-old is in demand with Manchester United and Manchester City also coveting his signature.
But Pogba has according to French paper Le Parisien, agreed a deal in principle with Paris Saint-Germain.
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Chelsea are set for bad news over Paul Pogba
The report suggests the Ligue 1 giants have offered Pogba a wage packet worth £165,000-a-week to convince him to move to the Parc des Princes.
The Blues are reportedly mulling over making a £43million bid for Atletico Madrid star Antoine Griezmann.
Griezmann has been tied down to a new long-term deal until 2020, and Spanish paper Mundo Deportivo claim Atletico will be unwilling to renegotiate the terms of his contract.
Antoine Griezmann Player Profile
However, it is thought Chelsea might try and flex their financial muscle.
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