Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.
In a large bowl, cream together the softened butter and ½ cup powdered sugar until light and fluffy.
Stir in the vanilla extract.
Gradually add the flour and salt, mixing until a soft dough forms.
Fold in the chopped walnuts until evenly distributed.
Shape the dough into 1-inch balls and place them 1 inch apart on the prepared baking sheet.
Bake for 12–15 minutes, or until the edges are just set and the bottoms are lightly golden.
Allow cookies to cool on the baking sheet for 5 minutes, then gently roll in powdered sugar.
Transfer to a wire rack and once cooled, roll again in powdered sugar for an extra snowy finish.