Fiorentina have deals for Marcos Alonso and Joaquin, but are now targeting Galatasaray striker Burak Yilmaz.
The Tuscans continue to work on improving the team that finished fourth in Serie A this season, particularly if Stevan Jovetic leaves over the summer.
They have already secured agreements with Anderlecht forward Oleksandr Iakovenko, former Bolton full-back Marcos Alonso and Malaga winger Joaquin.
According to the Corriere dello Sport, the next big name on their wish-list is Turkish international Burak Yilmaz.
He impressed in the Champions League this season, scoring eight goals for Galatasaray for them to reach the quarter-finals and 32 in all club competition.
The 27-year-old’s price-tag is around €15m and he only joined Galatasaray from Trabzonspor in July 2012.