The Rossoneri had been staring another embarrassing defeat in the face which would have increased the pressure on Massimo Allegri.
Goals from Riccardo Montolivo and Stephan El Shaarawy secured them a crucial point.
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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.