The 26-year-old wide-man has been impressive in Serie A since leaving Inter Milan in 2011, enjoying successful periods with Sampdoria and his current side.
His displays in recent times have attracted much attention, and now it is rumoured that Southampton and West Brom are both keen.
The Premier League pair are eager to get signings on board before the big kick-off and see the Frenchman’s pace and power as attractive.
The Saints are, perhaps, frontrunners in the race, with the club having raised around £80m in player sales already this window.
With Adam Lallana and Rickie Lambert having both left attacking additions are needed, and Ronald Koeman is likely to dip into his boosted kitty to get them in.
The Baggies are also in the battle, but a lack of funds for new arrivals at The Hawthorns may make snatching £8m-rated Biabiany difficult.
As well as Southampton and West Brom, Lazio and AC Milan are thought to be equally as interested.
There has also been speculation linking Biabiany with Chinese giants Guangzhou Evergrande.
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