Step 1

To a pint-sized jar or 2-cup measuring cup, combine the lime juice, blackberries, mint leaves, and honey. Using a muddler or the end of a wooden spoon, mash the lime juice, berries, and mint into a jam-like consistency.

Step 2

Pour the berry mixture through a fine-mesh strainer set over a large pitcher to remove the seeds and mint leaves. Using the back of a spoon, press the mixture firmly to release all of the juices, then discard the berry mixture left behind in the strainer.

Step 3

Add the Prosecco to the berry juice in the pitcher; stir gently to settle any foam that arises. Add 3-4 cups ice to the pitcher and stir again. Serve pitcher-style or divide cocktails among 6 tall glasses filled with ice. Garnish each cocktail with a few blackberries, a slice of lime, and a few mint leaves. Serve immediately.