Saints forward is being considered by the Italian outfit as they look for more goals
Southampton could lose striker Manolo Gabbiadini in January as Fiorentina consider a move.
La Viola have been struggling for goals this season, scoring just 18 time in 12 matches and only managing one against relegation battlers Frosinone last time out.
The Italian giants have already got several options as they plot their transfer activity for the coming window.
Nicola Sansone, currently on the fringes at Villarreal and once of Sassuolo, is under consideration, while Besiktas forward Ryan Babel is another possibility as he seeks out a move.
Corriere dello Sport also believe Lyon starlet Martin Terrier could be ideal for the role, along with Ismaila Sarr from Rennes.
And Gabbiadini is also on their watchlist as they look for a proven goalscorer to join their ranks and fire them up the Serie A table.
The Southampton man has started just two Premier League games this campaign, scoring once, and appears to be available for the right offer.