Balotelli was linked with a move to the Italian club but their sporting director Riccardo Bigon has dismissed those rumours.
Rumours were rife after reports suggested that Balotelli's long-term future was in doubt following comments made by Brendan Rodgers in a press conference last week.
The Italian had been struggling for goals but managed to break his scoring duck in midweek as he came off the bench to score his second goal since arriving from AC Milan for £16 million in the summer.
Bigon is quoted, saying: "It's a rumour told in Spain, England and Italy but I don't think it is a possibility.
"Nothing of what has been posted is true.
"Mario Balotelli is a really great player but he has been just signed by Liverpool who believe a lot in him.
"Best wishes to him in his English adventure."
There was a lot of talk that this is the 24-year-old's last chance to impress at a big club, but the rumours have been just a little quieter since he found the net in the win against Swansea City.
It's clear that one thing that will keep the rumours at bay is a good performance on the field and finding the back of the net on a regular basis. For Balotelli, and Liverpool, now would be a good time to build on things given they have a tricky trip to an in-form Newcastle United side, before a formidable trip to Spain to take on Real Madrid, quickly followed by hosting Chelsea at Anfield in the Premier League.