The young defender is keen to leave the Parc des Princes for first-team football, and Liverpool have been strongly linked with the France international.
The report claims several Italian teams have now registered their interest in the 23-year-old, including AC Milan. But Liverpool are reportedly still the defender's first choice, with AC Milan set to hold off until qualification for the Champions League group stage is guaranteed.
That's by no means certain following the club's 1-1 draw against PSV Eindhoven in their qualifying first leg on Tuesday night.
PSG's old captain, Sakho asked to leave the club on August 9 after falling out of favour in the French capital. The £27m signing of 19-year-old Brazilian centre-back Marquinhos pushes him further down the pecking order behind Alex and Thiago Silva.
PSG don't want to sell him though, and a meeting has reportedly been set up between the player, his agent and the club to discuss his future this week.
The report claims no bids have been received for Sakho so far, but the player favours Liverpool over all other clubs and is resolved to end his time in France.