Bordeaux 2-1 Djurgården (Agg: 3-1) Goals by Guinean striker Pascal Feindouno send Bordeaux through.
Feindouno opened the scoring on 36 minutes and made it two five minutes into the second half before Johan Elmander's late strike for the visitors precipitated a spell of pressure from Djurgården, but Bordeaux held firm.
Bordeaux, leading in the tie thanks to Feindouno's winner in Stockholm, dominated the first half and went ahead on 36 minutes through a superb individual effort from Feindouno. Collecting the ball on the right flank, he beat three defenders before shooting into the top right-hand corner of the net from ten metres.
The French side's second goal arrived five minutes into the second half. Feindouno's flick set up strike partner Jean-Claude Darcheville for a shot on goal. Goalkeeper Andreas Isaksson blocked Darcheville's attempt but the ball fell to Feindouno who returned it into the empty net from just outside the area.
Bordeaux coach Elie Baup said: "I was really pleased with the performance in the first half, even though we could have been more goals ahead by the break. I was annoyed, however, during the last 20 minutes as we did not seem to take to the task in a serious manner."
Their hopes all but gone, the Swedes suddenly began to threaten and Elmander made it 2-1 on the night with a low shot following a swift counterattack on 72 minutes. However, it was too little, too late.
Feindouno said: "The system we played tonight was different to how we play in the league, and it worked quite well for us given the amount of opportunities we created. This has been a problem for us recently, and tonight our efforts are more encouraging."