According to La Gazzetta dello Sport, Lazio are keeping an eye on Manchester City youngster John Guidetti and may make a January swoop.
There are reports that Chelsea are tracking Lazio's Bosnian midfielder Senad Lulic again and could be readying a January bid.
Onazi has excelled for Serie A side Lazio this season, and revealed his desire to play for the Reds.
Hernanes snuffs out rumours of a move to north London.
Lazio may have beaten Apollon Limassol 2-1 to move to the brink of Europa League progress, but club President Claudio Lotito was not impressed.
Roma have set a Serie A record with their 10 consecutive wins to start the season, but city rivals Lazio can cling on to their heroics of a century ago.
AC Milan fullback Ignazio Abate believes his side were 'afraid of winning' against Lazio as they blew a 1-0 lead to draw.
A preview of Week 10 of the Serie A season in numbers as Fiorentina and Napoli shoot it out and AC Milan host Lazio in a crunch match.
Arsenal are said to be considering a move for German legend Miroslav Klose in January - but would it be a worthwhile gamble?
Lazio didn't take their chances in a 0-0 draw with Cypriots Apollon Limassol, much to the frustration of midfielder Hernanes but Keita Balde Diao impressed.