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Greeted by heavy snow on their return from Club World Cup glory, Bayern were caught cold by their relegation-threatened opponents as debutant Michel Vlap and Amos Pieper stunningly gave Arminia a 2-0 half-time lead.
Robert Lewandowski scored his 25th Bundesliga goal of the season in sumptuous fashion three minutes into the second period, although substitute Christian Gebauer swiftly replied for Uwe Neuhaus men.
Corentin Tolisso and Alphonso Davies continued the flow of easy-on-the-eye goals, but Bayern could not find a winner.
Manuel Prietl reacted quickest when Cedric Brunner s ninth-minute long throw was partially cleared and Vlap - a loan signing from Anderlecht - controlled his drilled pass superbly before emphatically smashing beyond Manuel Neuer.
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