To make any of the syrups, add the fruit, water and sugar to a small saucepan. Place the saucepan over moderately medium heat and bring to a light simmer; cover the saucepan and cook for 10 minutes or so. The syrup is ready when the fruit has softened and the color of the syrup has changed. Mash the fruit with the back of a fork and pour the syrup through a sieve. Set the syrup aside and allow it to cool to room temperature.
To assemble the drink, pour 1/4 cup of syrup in a glass, pour 1/4 cup half & half and top with a few splashes of sparkling water. Repeat with remaining Italian sodas.
Notes