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Bayern striker Eric Choupo-Moting scored the only goal before the interval but it was not enough to overturn the German side's 3-2 loss in last week's first leg against PSG.
Superb individual goals from English pair Mason Mount and Ben Chilwell gave Chelsea a 2-0 win away to Porto in their quarterfinal first leg in Seville.
Chelsea beat Atletico Madrid 2-0 to reach the quarterfinals for the first time since 2014.
Robert Lewandowski became the Champions League’s third top scorer of all time as holders Bayern Munich put one foot in the quarterfinals with a 4-1 thrashing of Lazio.
Holders Bayern Munich and Manchester City booked their places in knockout phase, while Atalanta stunned Liverpool.
Shakhtar Donetsk pulled off a shock 3-2 win away to 13-time winners Real Madrid in their Group B opener, despite the Ukrainian side missing 10 players due to injuries and COVID-19.
European champions Bayern signed right-back Bouna Sarr from Olympique de Marseille and brought back Brazilian winger Douglas Costa on loan from Juventus.
Bayern had not lost since December 7, 2019, and had gone 21 consecutive Bundesliga matches without defeat, winning their last 15.
Born in Auckland to Indian parents who migrated from Punjab, the 21-year-old attacking midfielder's rise to the big stage is an inspiration to young Indian footballers who dream of making their way in the game in top-flight leagues.
Bayern Munich beat Sevilla 2-1 after extra time in the first European game played with fans in the stands since the sport returned amid the COVID-19 pandemic.