Frenchman Franck Ribery scored a brace yesterdays, including one from the penalty spot, while David Alaba, Bastian Schweinsteiger and Mario Goetze were also on target as Pep Guardiola's Bayern romped to a 5-0 home win against Czech champions Viktoria Pilsen, their eighth consecutive win in the competition.
The German outfit are three points clear at the top of Group D from Manchester City, the Premier League club who claimed a potentially crucial 2-1 win at CSKA Moscow earlier in the day.
"It is an important win," City manager Manuel Pellegrini said after the game. "Now we have to play the next two games at home. I told the players that we had to make sure we didn't lose this one. We are not in the next round yet but this was an important step."
That game was also marred by reports of racist chanting from the home sections of the stadium directed towards City's Ivorian midfielder Yaya Toure.
PSG recorded their biggest European away win as they took Anderlecht apart in Brussels, Zlatan Ibrahimovic scoring four times and Edinson Cavani once in a 5-0 victory.
Ibrahimovic's evening featured a hat-trick in the space of 19 first-half minutes, with his third goal a ferocious volley from 30 yards that brought many of the home supporters to their feet. And he now has nine goals in his last four games in all competitions.
"Scoring four goals in a game doesn't happen every day," said Ibrahimovic, who was touched at seeing the Anderlecht fans applaud his marvellous third goal.