New manager Brendan Rodgers knows all about the Euro 2012 star, having coached him in the youth ranks at Chelsea and signed him on loan from the Blues after becoming Swansea boss.
Rodgers is busily scouting potential new faces and wants to make Borini a second Reds signing with a Liberty Stadium connection, as they also head the chase for Gylfi Sigurdsson, who shone for the Swans last season while on loan from Hoffenheim.
Borini has enjoyed a meteoric rise through the Azzurri's ranks since leaving Chelsea 12 months ago.
Following a successful loan spell at Swansea, where he scored six goals in 12 games to help get them promoted to the Premier League, he refused to sign a new Stamford Bridge contract and joined Parma instead.
Almost immediately, he was loaned out to Roma, who then bought a stake in the young striker, creating a joint-ownership situation.
Borini then did an Alex Oxlade-Chamberlain, scoring 10 goals in 26 games to go from being a relative unknown to winning a spot in the Italian squad at the Euros.
The youngster, who only turned 21 in March, is now seen as a future Italy star.