In a blender container, combine the fresh strawberries, sauterne, frozen limeade concentrate, and ice cubes. Blend until the mixture is smooth. Add sugar if a sweeter flavor is desired.
Serve immediately in stemmed glasses. Makes about 2-1/2 cups of slush (five 4-ounce servings).
Slush may be transferred to a plastic container, covered, and frozen. Store in the freezer for up to 4 weeks.