Wash the potatoes and cook in boiling water for about 15 minutes. Drain, quench, peel and let cool down, preferably overnight.
Coarsely grate the potatoes. Season to taste with salt, pepper and nutmeg. Heat 1 tbsp. clarified butter in an ovenproof pan (approx. 26 cm Ø). Pour the potato mixture into the pan, form into a Rösti, pressing firmly.
Fry over medium heat for about 15 minutes. Turn the Rösti over, adding 1 more tbsp. clarified butter.
Use a spoon to press hollows into the mixture. Beat an egg into each hollow. Cook the Rösti in a pan in a preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: see manufacturer) for about 10 minutes.
In the meantime, wash the chives, shake dry and cut into fine rolls. Sprinkle Rösti with chives. Season with salt and pepper.