Atletico Madrid drew 1-1 at Athletic Bilbao on their return to La Liga action, failing to capitalise on slip-ups by their rivals for the Champions League places.
Wolfsburg boosted their hopes of qualifying for next season's Europa League with a 1-0 victory at relegation-threatened Werder Bremen.
Schalke's winless Bundesliga run was extended to 11 games as they were beaten 1-0 by strugglers Werder Bremen on Saturday.
Schalke 04's dreadful run of form continued with defeat at Fortuna Dusseldorf, while Hoffenheim beat Cologne to move seventh.
Schalke slumped to a shock 3-0 loss at home to relegation-threatened Augsburg on Sunday as the pressure mounts on manager David Wagner.
RB Leipzig's Bundesliga title hopes suffered a blow as visitors Freiburg held them to a 1-1 draw as the German top flight returned to action.
Augsburg coach Heiko Herrlich will miss the club's first game when the Bundesliga resumes on Saturday, because he broke quarantine rules.
Barcelona were made to work for their win against third-place Getafe in La Liga on Saturday while PSG were held 4-4 by Amiens in France.
Football might not be back in the UK yet but for Premier League fans wondering who to follow in the Bundesliga this weekend, we've got just the guide for you...
Karim Benzema scored for the first time in a Madrid derby at the Bernabeu as Real Madrid beat Atletico Madrid 1-0.
Quique Setien suffered his first defeat as Barcelona boss as Valencia secured a 2-0 win to preserve their unbeaten La Liga home record this season.
Luis Suarez provided a goal and three assists as Barcelona opened up a three-point gap at the top of La Liga after a 4-1 victory over Alaves at Nou Camp.
Jadon Sancho scored for the seventh successive game before hobbling off injured as Borussia Dortmund drew 3-3 with Bundesliga leaders RB Leipzig.
Bayern Munich hammered Borussia Dortmund 4-0 at the Allianz Arena, while Real Madrid also hit four against Eibar to keep up with the pace at the top of La Liga.
Real Sociedad went level on points with La Liga leaders Barcelona after snatching a 2-1 victory against Granada thanks to a late strike from Cristian Portu.
Lionel Messi scored his first goal of the season as nine-man Barcelona beat Sevilla 4-0 on Sunday to climb into second place in La Liga behind Real Madrid.
Alexis Sanchez scored his first goal for Inter Milan before being sent off after picking up a second yellow card for simulation during his side's 3-1 win at Sampdoria.
Aaron Ramsey was on target in Juventus' 2-1 win over Hellas Verona, while Philippe Coutinho scored his first Bundesliga goal in Bayern Munich's 4-0 win over Cologne.
Gareth Bale scored his first goals since March and was shown a late red card as Real Madrid were held to a 2-2 draw at Villarreal.
Jadon Sancho got on the scoresheet as Borussia Dortmund began their Bundesliga title bid with a 5-1 win over Augsburg on Saturday.