Tomas Ujfalusi's agent Pavel Paska has claimed that Liverpool made an enquiry about the availability of the Fiorentina defender.
The Czech Republic international has 12 months remaining on his present deal and was linked with a move to Sevilla earlier this summer.
With Jamie Carragher currently out injured after sustaining a broken rib, Paska explained that Rafa Benitez was keen to secure the player as defensive cover.
However Ujfalusi is only keen on a move to Spain and has reportedly turned down the enquiry.
"Liverpool have a problem as Jamie Carragher has picked up a serious injury," Paska told Sport.
"Manager Rafael Benitez together with the club director Ricky Parry have therefore asked me if I could address the offer to Tomas.
"Tomas has consulted it with his family and told me that he was happy with life in Italy and that the only country he would move to is Spain.
"I have to respect his decision, nevertheless it has surprised me a lot. Liverpool never give this offer twice to one player."