Preheat the oven to 350 degrees Fahrenheit. Line a cookie sheet or two with parchment paper.
Add the butter, Nutella, and sugars to a large bowl and cream them together until fluffy, a couple of minutes.
Add in the 2 eggs and vanilla, and stir until combined.
In another bowl, mix together the flour, baking soda, and salt.
Slowly add the dry ingredients to the wet ingredients and stir everything together until combined.
Fold the chocolate chips or chocolate pieces into the batter.
Scoop the cookie dough into 1 1/2 TBS sized portions and add them to the prepared cookie sheets.
Bake the cookies for 7 to 9 minutes, or until the edges are brown, and the top is just set.
Add a couple extra chocolate pieces on top of the cookies right as you pull them out to make them extra pretty, if desired. Also, you can sprinkle them with sea salt if desired.
Leave the cookies on the baking sheet for about 5 minutes to cool. Then transfer them to a cooling rack to continue cooling, or serve warm.