The tricky looking tie became a rather straightforward one for the Parisians, with the hosts being reduced to 10 men in the first half.
Gregory van der Wiel, Mamadou Sakho, Ezequiel Lavezzi and of course Zlatan Ibrahimovic were on target for the visitors.
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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.