The club's sporting director Daniele Prade has revealed the club are looking at bringing in a natural goalscorer, though, he believes signing either player could prove difficult
Despite signing Giuseppe Rossi in the January transfer window, reports of interest in striker Stevan Jovetic has led the Viola looking at attacking alternatives.
Borini and Osvaldo played together for Roma before the former moved to Anfield in the summer, and though Prade revealed the club's interest in the pair, he admitted it may be difficult to lure them away from their current teams.
"We are looking for a forward with the hunger for goals. A player who lives to score goals," he told Radio Toscana.
"We like Fabio Borini, but it is unlikely that Liverpool will want to let him go."Osvaldo? I do not think that Roma will want to strengthen a direct rival of theirs, but you can never say never."
Vincenzo Montella's side are currently sixth in Serie A, 13 points behind leaders Juventus; and are the fourth highest scorers in the league with 45 goals to their name.