Bayern defeated Barcelona as the German side, Sporting CP and Club Brugge all made it two wins from two in the Champions League's group stage.
Robert Lewandowski endured a disappointing return to his former club as Bayern struck twice in five second-half minutes to take control of Group C.
Liverpool's Joël Matip's 89th-minute header earned Liverpool victory and ended Ajax's seven-match winning run.
In the meantime, Club Brugge stunned Porto to start Group B with back-to-back wins.
Alsoe in Group B, Leverkusen gave Atlético a taste of their own medicine by scoring two late goals to collect their first points.
Edin Džeko scored one and set up another for Denzel Dumfries as Inter Milan made light work of Plzeň.
Sporting CP defeated Tottenham 2-0 as the Lions made it two wins from two after a remarkable finale in Lisbon, with the hosts scoring two late goals.
Marseille were defeated 1-0 in their clash against Frankfurt. Jesper Lindstrøm's first-half goal was enough to give the German side victory and consign Marseille to back-to-back Group D losses.
New Zealand overcame a blitz from centurion Harry Brook to beat England by four wickets on Sunday in the opening game of their three-match one-day international series, with Daryl Mitchell and Michael Bracewell scoring half-centuries.
Belinda Bencic breezed past Czech sixth seed Linda Noskova 6-2 6-3 to win the Pan Pacific Open title on Sunday, erasing bitter memories of her straight-sets defeat by Agnieszka Radwanska in the title clash of the same tournament 10 years ago.
Liverpool manager Arne Slot said opponents have identified a winning strategy against his Premier League champions and he needs to find a solution fast after a 3-2 defeat at Brentford on Saturday made it four league losses in a row.
Rohit Sharma hit a century and Virat Kohli a bright 74 to drive India to a nine-wicket win in the third one-day international on Saturday, sending fans home happy after what are likely to be their final appearances in Australia in their country's colours.