The Biancocelesti are eager to reinforce the squad in January in order to continue the latest uptrend in fortunes and have been linked with a number of talented players.
While signing a new central midfielder remains a priority, the Serie A giants have been linked with two right-sided midfielders.
Defensor Sporting winger Diego Rolan has attracted interest of Lazio scouts with some scintillating showings at the Under-20 South American Championship, but it appears that the Biancocelesti are not prepared to match the asking price.
The 19-year-old, who scored 8 goals in 15 league appearances this season, is valued at €4 million, which is too much for the Italian club at the moment.
Meanwhile, Lazio are closely monitoring the progress of Grasshoppers midfielder Izet Hajrovic, who has also been in impressive form this season.
Hajrovic, 21, would cost around €3 million, but the Swiss side are not willing to do any business in the winter transfer window.