Lionel Messi's late penalty edged Barcelona to a 1-0 victory at home to Real Sociedad to ease the pressure on manager Quique Setien.
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.
Mauro Icardi rediscovered his scoring touch to help PSG beat Nantes 2-1 in Ligue 1 while Borussia Dortmund and RB Leipzig were knocked out of the DFB-Pokal in Germany.
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.
Real Madrid moved top of La Liga, until Sunday evening at least, with a 2-1 win at Alaves while Bayern Munich were beaten by Bayer Leverkusen.
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