Mash strawberries slightly in a bowl. Pour in a small amount of wine and mix to pick up any juices.
Mix orange and lime juice in a pitcher. Pour in strawberries and remaining wine. Add cranberry-raspberry juice, brandy, Cointreau, and sucralose sweetener. Stir well and refrigerate until flavors combine, at least 4 hours.
Fill glasses with ice. Fill each glass 2/3 to 3/4 of the way with sangria. Top with strawberry soda. Stir well.