Having drawn their first two matches, PSG were unable to find a breakthrough at home.
They are now six points behind rivals Marseille, who went top with a 1-0 win away to champions Montpellier.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.