The Czech Republic international was previously linked with a move to Liverpool, but Lacina claims he turned down the enquiry.
Dalibor Lacina confirmed the approaches, but insisted that the 29-year-old will not be leaving the Serie A side in January.
"At this moment we are registering approximately eight specific offers from top clubs. The reality is though that Tomas Ujfalusi will fulfil his contract at Fiorentina," Lacina said.
"The offers of course are there but we will start discussions when Ujfalusi's contract expires. And it is not certain if Tomas will leave Fiorentina at all."