Second, place blueberries, water, and sugar in a saucepan and cook on medium heat until blueberries break down and become syrup with the water and sugar.
Use a wooden spoon, potato masher, or food mill to smash blueberries.
Once the blueberries are mashed pour the blueberry syrup through a strainer and reserve only the liquid. Discard the blueberry skins. Let cool.
While the blueberry syrup is cooling pick out 3 serving glasses, I used 12 oz glasses.
Slice the two limes in half. Three of the four halves will be to squeeze into the serving glasses. With the fourth half of the lime, slice it into slices to use as garnish.
Fill the three serving glasses with ice.
Then, add two tablespoons of blueberry syrup to each serving glass.
Next, add Pellegrino to the three glasses and stir well to combine the blueberry syrup and Pellegrino.
Finally, squeeze half of a lime into each glass and stir gently to combine.
Garnish with a slice of lime and blueberries (I also used some thyme from the garden as a garnish in this drink.)
Recipe note you can add simple syrup to adjust the sweetness and tartness.