Gather all your ingredients: Blue Hawaiian Punch, Sprite, and pineapple juice. In a large punch bowl, combine the Blue Hawaiian Punch, Sprite, and pineapple juice. Stir gently for about 1 minute until well blended.
Scoop out 10 generous scoops of vanilla ice cream and add them to the punch mixture to create a fluffy, 'snowy' effect.
Stir gently for about 30 seconds to allow the ice cream to blend with the punch without dissolving completely.
Ladle the Frozen Snowball Punch into glasses and top with an additional scoop of vanilla ice cream before serving immediately.