Preheat oven to 350 degrees F. Line a baking sheet with parchment paper and set aside.

Mix in a large bowl, eggs, sugar, peanut butter, salt, and baking soda. Make the cookies just under the size you would like them to be. They will spread some so keep that into account to the size you would like your sandwiches to be.

Place on a baking sheet and cook for 11 minutes. Let cool for a few minutes then move to cooling rack. Allow to cool fully.

Place softened strawberry ice cream between the bottom of the cookies. Wrap with plastic wrap and freeze overnight.

Serve cold!