Sift flours, baking soda, baking powder and salt into a bowl. Set aside.
Using a mixer fitted with paddle attachment, cream butter and sugars together until very light, about 5 minutes. Add eggs, one at a time, mixing well after each addition. Stir in the vanilla. Reduce speed to low, add dry ingredients and mix until just combined, 5 to 10 seconds. Drop chocolate pieces in and incorporate them without breaking them. Press plastic wrap against dough and refrigerate for 24 hours. Dough may be used in batches, and can be refrigerated for up to 72 hours.
On baking day, preheat oven to 350°F. Scoop 3 1/2-ounce mounds of dough (the size of generous golf balls). Flatten dough ball and place a generous tablespoon of Nutella in the middle. Wrap dough around Nutella, completely sealing Nutella inside the dough. Place on baking sheet about 2-3 inches apart. Bake until golden brown, 18 to 20 minutes.
The nutrition information provided are only estimates based on an online nutritional calculator. This is not a comprehensive list of all the nutrients in the recipe (i.e., does not include vitamins, cholesterol, etc). I am not a certified nutritionist. Please consult a nutritionist or doctor for accurate information and any dietary restrictions and concerns you may have.