Sergio Ramos and Cristiano Ronaldo were both suspended for the encounter.
Real had to deal with the blow of having Kaka sent off late on, and could not find a way through to grab a winner. They are now 15 points behind Barcelona having played a game more.
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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.