Defrost the berry cocktail. Mix with sugar and allow to soak. Let thaw vanilla ice cream. Wash the lemons, dab dry and peel off some strips from the peel with a julienne chiseler to decorate.
Grate the remaining lemon peel. Squeeze the juice of the lemons. Mix thawed vanilla ice cream, grated lemon peel and 5 tablespoons of lemon juice with the whisks of the hand mixer. Spread the berry cocktail on 4 dessert bowls and pour the vanilla ice cream sauce over them.
Decorate with lemon strips and lemon balm leaves.