Borussia Dortmund and Bayer Leverkusen recorded big wins to progress to the round of 16, while Borussia Monchengladbach saw off Schalke.
Bayern Munich started their DFB-Pokal defence with a comfortable win while fourth-tier Magdeburg shocked top-flight Augsburg 1-0.
Holders Bayern Munich progressed to the quarter-finals of the DFB Pokal with a 2-0 win at Augsburg on Wednesday.
Borussia Dortmund Borussia Dortmund coach Jurgen Klopp hailed a "tough" win as his side booked their place in the third round of the DFB-Pokal on Tuesday.
Holders Bayern Munich will host fellow Bundesliga outfit Hannover in the second round of the DFB-Pokal on Wednesday.
Holders Bayern Munich will start their DFB-Pokal defence with a trip to 3. Liga side Preussen Munster on Sunday.
In a friendly to celebrate Sandhausen's 100th birthday, Andre Schurrle and Borussia Dortmund spoiled the party.
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