The French club will resume negotiations with the striker.
PSG previously made a significant offer for Osimhen.
The team is also considering a bid for Khvicha Kvaratskhelia.
PSG has made a €200 million double bid for Napoli stars Osimhen and Kvaratskhelia.
Napoli may consider selling Osimhen if PSG matches his €130m release clause.
PSG is unlikely to match Osimhen’s release clause and will try to convince Napoli to lower their demand.
New manager Antonio Conte wants Kvaratskhelia to stay at Napoli.
PSG will regroup for pre-season and play friendly matches in Austria (SK Sturm Graz) and Germany (RB Leipzig).