A record 44 goals were scored in just eight group games as Shakhtar Donetsk destroyed BATE Borisov 7-0 in Belarus and Chelsea recorded their biggest win in the competition, thumping Maribor 6-0 at Stamford Bridge on Tuesday.
There were also wins for Barcelona, Paris Saint-Germain, Schalke and Porto while Manchester City drew 2-2 away to CSKA Moscow, but it was Bayern who stole the show.
Pep Guardiola's side underlined their status as one of the contenders to win the Champions League as they took apart a Roma outfit who had enjoyed a fine start to the campaign.
Gervinho got one back for Roma in the second half before substitutes Franck Ribery and Xherdan Shaqiri added further goals in a performance reminiscent of Germany's 7-1 win over Brazil in the World Cup semi-final in July, a game in which five of Bayern's line-up against Roma featured.
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However, Bayern's performance was outdone by Shakhtar, as the Ukrainians romped to a remarkable victory away to BATE in Group H.
His compatriots Alex Teixeira and Douglas Costa were also on target as Shakhtar ended BATE's unbeaten home record stretching back over a year in emphatic fashion.
Bayern and Shakhtar's feat in each scoring seven goals away from home on the same night is all the more remarkable given that only two teams had ever previously done so in the Champions League -- Marseille in 2010 and Lyon in 2011.