Juan Manuel Vargas' agent claims that Liverpool are interested in the winger and that he could leave Fiorentina over the summer.
The Peru international has one season left to run on his current contract and he was reportedly a target for Arsenal 12 months ago.
He is again attracting interest from the Premier League, according to his representative Jorge Cyterszpiler, with Liverpool keeping tabs on his situation.
Ambitious Spanish side Malaga are also sweet on the 28-year-old, although there have yet to be any firm approaches for the wide-man.
"There is the possibility that he (Vargas) will leave Fiorentina," Cyterszpiler said to www.tuttomercatoweb.com. "But at this time it's just a rumour and there is nothing official.
"He didn't have the best of seasons and he needs to make up for it next season.
"Liverpool is an option, but there is also Malaga that has the fascination of playing in next season's Champions League.
"Does he have a preference with regards to playing the Premier League or the Primera Liga? Vargas likes both leagues as well as the Serie A."
"Have there been offers from in Italy? In the past, we spoke with Inter Milan and they were interested in him."
Vargas joined Fiorentina from Catania in 2008 for 12million euros (£9.6m) and he made 24 league appearances for the Viola last season.