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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.