The 20-year-old is out-of-favour at A Milan and could leave the club in the January transfer window.
Chelsea, Tottenham and Arsenal ae also interested in signing the Italy ace, according to the Daily Star.
The Liverpool owners are ready to back manager Brendan Rodgers in the January transfer window, but El Shaarawy could cost the Reds around £25million.
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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.