A second half header from England striker Peter Crouch was the difference between the two teams. Crouch planted a cross from Craig Bellamy into the back of the net.
Liverpool skipper Steven Gerrard was out of the clash with a minor injury, and Bordeaux had their chances to score against the Reds.
Ramé – Jurietti, Henrique, Jemmali, Wendel – Alonso, Mavuba, Menegazzo – Laslandes, Micoud, Darcheville. Subs: Valverde, Perea, Faubert, Ducasse, Enakarhire, Marange, Chamakh.
Reina – Finnan, Hyypiä, Carragher, Riise – Garcia, Alonso, Zenden, Gonzalez – Crouch, Bellamy. Subs: Dudek, Pennant, Kuyt, Sissoko, Warnock, Paletta, Peltier.