Dortmund saw off lower-league opposition Uerdingen in the first round but have a far tougher test to come against Gladbach in one of two all-Bundesliga ties.

Bayern continue the defence of their crown with a trip to Bochum, who they beat en route to winning the competition in 2015-16.

Elsewhere, last season’s beaten finalists RB Leipzig will take on top-flight rivals Wolfsburg for a place in round three.

The two remaining semi-professional sides in the competition, FC Saarbrucken and Verl, were paired with Koln and Holstein Kiel respectively in Sunday’s draw.

The games will be played on October 29 and 30.

Draw in full:

Kaiserslautern v NurnbergVerl v Holstein KielMSV Duisburg v TSG HoffenheimSaarbrucken v KolnDarmstadt 98 v Karlsruher SCBayer Leverkusen v PaderbornFreiburg v Union BerlinFortuna Dusseldorf v Erzgebirge AueBochum v Bayern MunichArminia Bielefeld v Schalke 04Borussia Dortmund v Borussia MönchengladbachHertha Berlin v Dynamo DresdenWolfsburg v RB LeipzigWerder Bremen v HeidenheimHamburger SV v StuttgartSt. Pauli v Eintracht Frankfurt

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