Il Tempo have suggested that the Bosnian international could be the subject of January bids from the Nerazzurri and European Champions Chelsea.
The Rome-based newspaper believes that a bid somewhere in the region of €8m may be enough to tempt the Biancocelesti into selling Lulic, who has been almost ever-present for his side this season, making 20 appearances.
Sky Sports have reported that there is also interest from Serie A champions Juventus and German side Bayern Munich.
Lulic’s agent, Kevin Fioranelli recently stated: “I have not had contact with any club, I think there is nothing concrete.”
“The player is fine at Lazio and the relationship with teammates and with coach Petkovic is great,” he added.