Line 3 baking sheets with parchment paper and set aside.
Sift together the flour and baking soda in a small bowl and set aside.
In a large mixing bowl, combine the butter, granulated sugar, and light brown sugar; beat on medium speed until light and fluffy.
Add the salt, vanilla extract, and eggs and continue to beat on low until thoroughly combined.
Slowly add the flour mixture and mix until combined.
Stir in the semisweet chocolate chips.
Drop by rounded tablespoon onto prepared baking sheets, 2 inches apart.
Bake for 8 to 10 minutes, or until cookies are golden brown around the edges.
Remove and let cool for 2 minutes on the baking sheet; transfer to a wire rack, and let cool completely.
While the cookies are cooling, make the filling: In a medium-sized mixing bowl combine the cream cheese and powdered sugar; beat with electric mixer on medium speed until creamy.
Add in the melted white chocolate chips and Nutella; continue to mix until thoroughly combined.
Let sit in the refrigerator for 10 minutes before using.
Spread the frosting on the flat side of half of the cookies and put the remaining cookies on top. Refrigerate for 20 minutes to allow the filling to stiffen slightly.
Serve cookies at room temperature.
Notes
For best results, chill the assembled sandwiches for at least 30 minutes before serving. These cookies can be stored in an airtight container in the refrigerator for up to 5 days.