Line a baking sheet with parchment paper. Scoop 1 1/2 tablespoon mounds of Nutella onto the baking sheet, spacing the mounds about 1 inch apart. Place the baking sheet in the freezer until the Nutella is frozen solid, about 20 minutes.
Preheat the oven to 375°F. Line two baking sheets with parchment paper.
In the bowl of a stand mixer fitted with the paddle attachment, cream together the butter, white sugar and brown sugar until light and fluffy, about 2 minutes.
Add the eggs one a time, beating between each addition, then beat in the vanilla extract.
Add the flour, baking soda, baking powder and salt and beat just until combined, then beat in the chocolate chips.
Scoop out two 1 1/2-tablespoon mounds of dough and flatten them slightly. Place a frozen Nutella mound into the center of one piece of cookie dough then press the second piece of dough on top, sealing together the edges. Repeat the scooping, filling and sealing process with the remaining dough. Arrange the cookies about 2 inches apart on the baking sheets.
Bake the cookies for 9 to 12 minutes, rotating the pans halfway through, until they are slightly crispy around the edges and barely set in the centers. Remove the cookies from the oven and let them cool for 5 minutes on the baking sheets before transferring them to a rack to cool completely.