Beckham was sent off for a late challenge minutes after coming on in a bad tempered game which PSG won 1-0.
Elsewhere in Ligue 1 St Etienne drew 1-1 with Olympique Lyonnais in the local derby which was also a key battle for third place.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.