With all the fairy-tale spires and turrets its name suggests, Badrutt’s Palace in St Moritz has been facilitating the Alpine adventures of the rich and famous, from Hepburn to Hitchcock, for more than a century now. These days, it’s no less glamorous, with dining that spans two Michelin stars, a Matsuhisa restaurant in an old tennis hall and a pizzeria. At Le Grand Hall, fondly known as St Moritz’s ‘living room’, settle in for afternoon tea with a magical view of the slopes.