Preheat your oven to 350°F (175°C).
In a large bowl, cream the softened butter and powdered sugar until smooth.
Add the vanilla extract and mix well.
In another bowl, whisk together the flour and salt.
Gradually add the dry ingredients to the butter mixture.
Fold in the chopped nuts until evenly distributed.
Form the dough into 1-inch balls and place them on a baking sheet.
Bake for 15-20 minutes, or until the bottoms are lightly golden.
Allow the cookies to cool slightly on the baking sheet.
Dust the warm cookies generously with powdered sugar before serving.