In a blender, puree the cherries, lime juice and sugar.
Taste and add more sugar if needed.
In batches, pour puree into a large piece of cheesecloth, pull corners into a bundle and squeeze the bottom gently to get the juice out and leave the cherry skins in the cheesecloth. In between batches you can rinse the cheesecloth to get rid of the skins, squeeze out the excess water and repeat.
When you’re done you should have about 1 cup of cherry lime juice.
Mix with 2 cups sparkling water and pour into glasses with lots of ice.
Garnish with slices of lime and cherries if desired.