Rangers have cooled their interest in Roland Juhasz after Anderlecht demanded £3.5m for the central defender.
The Scottish champions believe Juhasz had been told that he could leave if a club offered between £2m and £3m.
But Rangers had what they describe as their final bid of £3m rejected by the Belgian club and are not prepared to increase their offer further.
Rangers are seeking a replacement for Madjid Bougherra, who has left Ibrox for Qatar champions Lekwinha.
They had already signed Romania international Doran Goian from Palermo, while Kyle Bartley has returned for a second spell on loan from Arsenal.
However, manager Ally McCoist is still seeking further cover in central defence and had targeted Hungary defender Juhasz.
The 28-year-old has established himself as a mainstay of Anderlecht's back line since joining from Hungaria in 2005.
Juhasz has also amassed more than 60 caps for his country.
Meanwhile, Rangers have dropped their interest in long-time target Wesley Verhoek despite the Den Haag winger's transfer to Nottingham Forest falling through.
The 24-year-old gave as his reason a reluctance to leave family and friends in the Netherlands and Rangers believe a fresh approach would not yield results.