Liverpool midfielder Fabinho remains a target for PSG.
Reds boss Jurgen Klopp dismissed talk of Fabinho returning to France a fortnight ago.
But L'Equipe says PSG chief Antero Henrique hasn't dropped their interest and is pushing Liverpool to open talks about a deal before the January market.
Henrique hopes to take Fabinho on-loan in January - and will ramp up negotiations at the end of the week.
Everything will depend on Liverpool's Champions League clash with Napoli, should they lose and be bounced out of the competition, Henrique believes the Reds will be willing to release Fabinho next month.