Preheat the oven to 350 degrees F (175 degrees C). Grease and flour two 9-inch round cake pans or one 9x13-inch baking pan.

Combine flour, sugar, baking powder, and salt in a large bowl.

Beat eggs, 1 cup strawberry puree, 1/2 cup melted butter, and milk until combined. Add to flour mixture; whisk until combined. Pour batter into prepared cake pans or baking pan.

Bake in the preheated oven until a toothpick inserted into the center comes out clean, 30 to 35 minutes. Set aside to cool slightly, then invert onto a cooling rack to cool completely.

Pour melted butter into a large bowl and sift in confectioners' sugar. Add enough pureed strawberries to make a spreadable frosting. Frost cooled cakes and garnish with fresh strawberries and mint.