The Portuguese league leaders came from behind to sweep aside the Premier League side.
Chelsea beat Rubin Kazan at home by the same score, whilst Fenerbahce won 2-0 against Lazio. Tottenham drew 2-2 with Basle.
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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.