RB Leipzig's title race suffered a shock setback after they twice wasted a lead to slump to a 3-2 loss at Mainz 05 and fail to close the gap on leaders Bayern Munich.
Bayer Leverkusen secured a 2-1 win over Borussia Dortmund, while Sevilla moved up to fourth in La Liga.
La Liga leaders Atletico Madrid proved their title credentials yet again by beating in-form Sevilla 2-0 at home on Tuesday to go four points clear at the top.
Mauricio Pochettino delivered his first win in charge at PSG with a 3-0 victory over Brest, while Antoine Griezmann and Lionel Messi scored doubles for Barcelona.
Real Madrid moved top of La Liga after a 2-0 home win over Celta Vigo with Lucas Vazquez and Marco Asensio on the scoresheet.
Barcelona suffered without injured Lionel Messi as they drew 1-1 against struggling Eibar, with Ronald Koeman admitting the La Liga title race is "complicated".
Chelsea will face Atletico Madrid in the Champions League last 16, while Liverpool play last season's semi-finalists RB Leipzig.
Cristiano Ronaldo got the better of Lionel Messi as Juventus beat Barcelona to top Champions League Group G, while Borussia Dortmund and Lazio reached the last 16.
Barcelona's dismal start to the La Liga season continued as a second-half winner from substitute Alvaro Negredo handed Cadiz another major top-flight scalp.
Olivier Giroud gave Frank Lampard a reminder of his qualities with four goals that helped Chelsea confirm top spot in Group E with a 4-0 win at Sevilla.
Team news and stats ahead of Sevilla vs Chelsea in the Champions League group stage on Wednesday (kick-off 8pm).
A costly mistake from goalkeeper Thibaut Courtois helped Alaves secure a 2-1 La Liga victory over Real Madrid at the Alfredo Di Stefano stadium.
Diego Maradona was buried on Thursday in a private ceremony attended by only two dozen people.
PSG had two men sent off as they were beaten 2-1 by RB Leipzig at the Red Bull Arena in the Champions League on Wednesday night.
Diego Maradona's season at Sevilla is largely forgotten but memories of his genius live on.
Robert Lewandowski continued his hot goal-scoring streak with a hat-trick in Bayern Munich's 5-0 thumping of Eintracht Frankfurt.
An unusually resolute Chelsea found chances hard to come by with Kurt Zouma providing their best effort in a 0-0 Champions League draw with Sevilla.
Zlatan Ibrahimovic made a winning return to the AC Milan team as his quickfire double won the Milan derby, while Real Madrid and Barcelona suffered shock defeats.
Javi Martinez was the hero as Bayern Munich came from behind to beat Sevilla 2-1 in extra-time to win the European Super Cup.
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