Thaw fruit at room temperature but do not drain. Place fruit and any juice in a blender container or food processor bowl. Add sugar. Cover and blend or process until smooth. To remove strawberry seeds, pour mixture through a fine sieve or a sieve lined with a double thickness of 100-percent-cotton cheesecloth.

Transfer pureed fruit to a 2-quart pitcher. Stir in orange juice and lemon or lime juice. Slowly stir in champagne, sparkling wine, or pineapple juice. Serve over ice. Makes about 12 (5-ounce) servings.

Up to 24 hours ahead, puree the fruit and combine with orange juice and lemon or lime juice in a pitcher. Cover and refrigerate up to 24 hours ahead. Before serving, stir in champagne or pineapple juice. Serve as directed.