The Serie A champions reportedly offered £35.5m for the versatile midfielder over the summer, but Monaco were holding out for a fee in the region of £53m.
'Calciomercato' say the inflated price could rule out Juventus from completing a deal as they don't have the same financial power as Manchester United and PSG.
United were also heavily linked with Fabinho over the last few months, and the Italian news outlet claims Jose Mourinho is still keen on a deal to bring him to Old Trafford.
PSG, however, are also keeping tabs on the situation and could up their offer for the Brazilian.
Who will win the fight for Fabinho's signature?