Add the Coca-Cola to a medium saucepan. Bring to a boil, then lower heat to medium-low and simmer until reduced to 360 milliliters (1 1/2 cups), about 45-50 minutes.

Add the cherries to the bowl of food processor. Purée until smooth, about 90 seconds.

Pour in the Cola reduction and blend for 10 seconds more.

Pour the cherry cola mixture into a flat, shallow baking dish or plastic storage container. (Mine measures approximately 5 1/2 x 9 inches.)

Transfer to the freezer for 1 1/2 hours, or until mixture begins to freeze around the edges. With a fork, scrape around the edges of the container. Break the frozen pieces apart and stir them back into the cherry cola mixture.

Repeat every 30 minutes, or until mixture resembles finely crushed ice. The entire process will take anywhere from 4-6 hours depending on the size of your container andthe temperature in your freezer.

Scoop into glasses. Garnish with a cherry, or other toppings as desired. Serve immediately.