Preheat the Oven
Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper or a silicone baking mat.
Make the Dough
In a large bowl, cream the softened butter and sweetened condensed milk until smooth. Add the vanilla extract and mix until well combined.
Add Dry Ingredients
Gradually add the flour and salt to the butter mixture, mixing just until incorporated. Gently fold in the chopped nuts.
Chill the Dough
Cover the dough with plastic wrap and chill it in the refrigerator for about 30 minutes.
Shape and Bake
Roll tablespoon-sized portions of dough into small balls and place them on the prepared baking sheet, spacing about an inch apart. Bake for 12-15 minutes, or until the bottoms are lightly golden (the tops should remain pale).
First Powdered Sugar Dusting
Let the cookies cool on the baking sheet for a couple of minutes, then roll each cookie in powdered sugar while still warm. Transfer to a wire rack to cool completely.
Second Powdered Sugar Dusting
Once the cookies are completely cool, roll them in powdered sugar again for an extra snowy finish.