Beat the softened butter, powdered sugar, and vanilla together until light and fluffy, about 2 minutes.
Add the flour and salt and mix until a dough forms, scraping the bowl as needed. The dough will look crumbly at first but comes together after another minute of mixing.
Stir in the mini chocolate chips until evenly distributed. Chill the dough 10-15 minutes if it feels too soft to scoop.
Scoop rounded tablespoon portions and roll into balls. Place on parchment-lined baking sheets about 1 inch apart.
Bake at 375°F for 7 to 10 minutes, until the bottoms are just barely golden and the tops have lost their glossy look.
Let the cookies cool on the pan for about 5 minutes before moving them.
Once cool enough to handle but still a little warm, roll each cookie in powdered sugar. Let cool completely, then roll a second time for a thick, snow-white coating.