The Brazil international is desperate to leave PSG before the European transfer window closes at the end of August.
The Ligue 1 club are also open to selling the forward, but only if they are able to recoup the £198m they splashed out on his signature in summer 2017.
And rivals Madrid and Barcelona could be poised to lock horns as they both attempt to sign the 27-year-old.
The two clubs find themselves in a similar situation to 2013, when Barcelona beat Madrid to the signing of the then-Santos attacker.
PSG also offered Neymar to Manchester United this week, but the Premier League giants turned down the proposal.
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