Bordeaux look likely to miss out on signing both of the Cheyrou brothers.
Bruno spent last season on loan at Les Girondins and was keen to play UEFA Champions League football next season.
However, the French outfit refused to pay é¼1 million (£685,000) to make the midfielder's switch permanent and the loan contract officially ran out at the end of May.
Bordeaux remain keen to sign the 28-year-old and are hoping to negotiate a lower transfer fee with Liverpool.
Benoit Cheyrou will definitely not be making the switch to the Stade Chaban-Delmas after agreeing a two-year contract extension with Auxerre.
The defender looked set to quit Auxerre this summer but has now accepted the new contract that will see him stay at the club until 2010.