Huntelaar had said he wanted to leave the German side, with his contract up this summer, and clubs like Arsenal and Liverpool were in for him, so the news is a surprise.
It is a huge boost to Schalke though, who recently parted company with coach Huub Stevens and have experienced a turbulent period.
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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.