According to Simon Jones of the Daily Mail, the Reds are hopeful that the former Manchester United player will bolster their attack ahead of the new season: "The Italy international has a £28 million release clause but Liverpool will hope to drive the price down for the 27-year-old."
Indeed, Rossi's long-term knee issues may be a factor the Reds use in their negotiations, although the Anfield outfit themselves will likely be concerned about it, especially after their potential signing of Loic Remy collapsed due to a failed medical exam.
However, Liverpool may be prepared to take a risk on Rossi, who is a goalscoring machine. Despite an injury-hit season in Serie A last term, he still managed 16 goals in 21 appearances.
This is the kind of ratio Liverpool were used to getting from Suarez and have not adequately replaced despite the signing of Rickie Lambert.
Rossi would seemingly fit in well with Daniel Sturridge as he could play just off the Englishman or as the main poacher, but with the Italian's agent suggesting the move is unlikely, Liverpool look set to miss out, per The Associated Press' Daniella Matar:
As Matar alludes, Rossi is a popular and essential player at Fiorentina, and it always seemed unlikely that they would let such a key player go.
However, the Reds may have more luck with talented PSV Eindhoven youngster Zakaria Bakkali, who is reportedly eager to depart the Dutch club.
The 18-year-old Belgian is supposedly the subject of a bid from Liverpool with PSV happy to let him go as his contract is running down, per Tutto Mercato Web (via Anthony Chapman in the Daily Express).
The Eredivisie club's technical director Marcel Brands has said they will not stop the young attacking midfielder from leaving, per Chapman's report: "Whether Bakkali chooses to stay with us or a transfer, it is now clear what he must do. He can still extend his contract with us and then if he chooses to increase his efforts for PSV, with his heart and soul, that's fine. If he chooses a transfer, I am also at peace with it."
Liverpool are not the only ones in the hunt for Bakkali's signature with Atletico Madrid, Eintracht Frankfurt, Juventus, AC Milan and Arsenal are also believed to be interested, but the Reds are in the driving seat.
Rodgers may want to think twice before signing Bakkali, as he has been known to have some serious attitude issues at PSV, per Eredivisie journalist Peter McVitie:
However, Rodgers is historically successful as a nurturer of young players, and Bakkali is very talented and could bring a lot to Anfield in the future.
He can play on either flank and has the pace to fit well in Liverpool's current style, which involves fast counter-attacking.
Bakkali could definitely be a future star, but Liverpool have yet to properly fill the boots of their star of the past, Suarez. With little time left in the transfer market, Rodgers still needs to bring in a high-quality striker to carry some of the goalscoring burden in the coming season.