Hannover meet Polish team WKS Slask Wroclaw, while Stuttgart go up against Russian side FC Dinamo Moskva. The two Bundesliga representatives were among the seeded clubs in the draw and could not have faced each other at this stage of the competition.
Three Bundesliga clubs involved
The two-legged fixtures will be played on 23 and 30 August, with the winners qualifying for the group stages of the tournament proper, which kicks off on 20 September. The final will be played in Amsterdam on 15 May 2013.
Bayer 04 Leverkusen are already guaranteed a place in the group stage by virtue of their fifth-placed Bundesliga finish last season, while Stuttgart qualified automatically for the play-offs after finishing sixth. Hannover entered in the third qualifying round having ended the 2011/12 campaign one rung lower.
Hannover happy to be through
There they dispatched League of Ireland side St. Patrick's Athletic 2-0 at home on Thursday evening to take their overall aggregate victory to 5-0. Mario Eggimann, scorer of the hosts' second strike said: "Of course I'm delighted with my goal, but I'm even happier that we won. You could see today that we were still missing some match practice, but we still managed to play some good football and let the ball do the work."
As for the draw, 96ers boss Mirko Slomka commented: "It's a challenging task. Wroclaw are Polish champions and could have qualified for the Champions League if they'd beaten Helsingborgs of Sweden. I think the game at the AWD Arena will be decisive. With our fans behind us, we'll have the advantage."