Peel the potatoes and boil them in salted water until tender. Drain well and mash until smooth. Let them cool completely. Tip: Make sure the mashed potatoes are completely cool before proceeding, otherwise the dough will become sticky.
Add the egg, salt, and flour to the cooled mashed potatoes. Knead until a soft, pliable dough forms. Tip: If the dough is too sticky, add a little more flour, but be careful not to make it too stiff.
Shape the dough into walnut-sized dumplings. Bring a large pot of salted water to a boil, and gently drop the dumplings into the boiling water. Cook until they float to the surface, indicating they are cooked through.
Meanwhile, melt the butter in a skillet over medium heat. Add the breadcrumbs and sauté until golden brown. Tip: Stir constantly to prevent burning and ensure the breadcrumbs become nicely crisp.
In a separate bowl, combine the ground walnuts and powdered sugar. Once the dumplings are cooked, drain them well. First, toss them in the toasted breadcrumbs, then coat them generously with the walnut-sugar mixture.
Serve warm, optionally sprinkled with a little extra powdered sugar. Tip: For an even more decadent treat, serve with a dollop of sour cream or vanilla-flavored sugar.
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