Preheat oven to 350°F (175°C).

In a large bowl, cream together the softened butter, confectioners' sugar, and vanilla extract until smooth and well combined.

Gradually add the flour, salt, and chopped walnuts to the butter mixture.

Mix until the dough comes together and forms a cohesive ball.

Shape the dough into 1-inch balls.

Place the dough balls onto an ungreased baking sheet, leaving some space between each cookie.

Bake in the preheated oven for 12-15 minutes, or until the cookies are set but not browned.

Remove the cookies from the oven and let them cool slightly.

While the cookies are still warm, gently roll them in confectioners' sugar to coat.

Allow the cookies to cool completely.

Once cooled, roll the cookies in confectioners' sugar again for a thicker coating.

Store in an airtight container.