The French side had trailed 1-0 from the first leg and the tie went to extra time after the same score in the return.
Tulio de Melo struck late on to seal a lucrative victory for Rudi Garcia’s men.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.