Manchester City's crisis continued with a 2-0 defeat away to Juventus in the Champions League, while Pep Guardiola's old club Barcelona beat Borussia Dortmund to clinch a spot in the knockout stage.
Robert Lewandowski's revival has been a key to Barcelona's strong start to life under Hansi Flick as the striker returns to Dortmund to face Borussia in the Champions League
Harry Kane limped off but Jamal Musiala's 85th-minute header salvaged a 1-1 draw for Bundesliga leaders Bayern Munich at the home of rivals Borussia Dortmund
Leipzig's 2-1 loss at Dortmund last week, their first in the league this season, has given Vincent Kompany's Bayern the chance to grow their lead at the top of the table.
Borussia Dortmund have been eliminated from the German Cup in the second round with a 1-0 extra-time loss at Wolfsburg on Tuesday
Real Madrid struggled in the first half against the Bundesliga side, who went two goals up through Donyell Malen and Jamie Gittens.
Vinicius' first-ever UEFA Champions League hat-trick featured a memorable solo goal as Real Madrid outclassed Borussia Dortmund at the Santiago Bernabeu.
Jude Bellingham's first season at Real Madrid started with a glut of goals and ended with a dream double, but his second is yet to take off.
Borussia Dortmund fans have reacted with anger and frustration after former coach Jurgen Klopp's announcement he will take over as head of football operations at Red Bull.
Arsenal beat Paris Saint-Germain 2-0 in their heavyweight Champions League duel on Tuesday
Victor Boniface struck a stoppage-time winner to give Bundesliga champions Bayer Leverkusen a thrilling 4-3 win over Wolfsburg on Sunday
Every team will play eight games against eight different opponents in the new format of Europe's elite club competition, with all 36 clubs now pooled together into one league rather than split into groups.
UEFA Champions League Draw 2024/25 Live Streaming And Live Telecast: When And Where To Watch
Real Madrid have won six of the last eleven Champions League titles.
German international Maximilian Beier on Monday signed a five-year deal with Borussia Dortmund after passing a medical with the Bundesliga club on a deal reported to be worth 30 million euro ($32.7m).
Toni Kroos brought down the curtain on a glorious club career in fitting style as he entered the history books by winning his sixth Champions League on Saturday.
Real Madrid coach Carlo Ancelotti said his team would be back for more silverware with the same hunger next season after claiming a record-extending 15th Champions League trophy
Real Madrid withstood a Borussia Dortmund barrage to win the Champions League for the 15th time as Dani Carvajal and Vinicius Junior struck late in a 2-0 win