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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.