The 12 goals scored at the Westfalenstadion on Tuesday surpassed Monaco's 8-3 win over Deportivo La Coruna in 2003.
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Watch the highest scoring UEFA Champions League game
Dortmund beat Legia Warsaw 8-4 in the highest-scoring Champions League game in history.
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There were seven goals in 22 first-half minutes, while Marco Reus scored a hat-trick for Thomas Tuchel's Dortmund.
Polish champions Legia became the first side to score four goals in a Champions League match and lose.
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