Peel, pit, and puree your peaches with a small food processor. The riper the peaches, the sweeter and creamier the puree will be.
In a flute glass, add 1-2 ounces of the peach puree to each glass, and then slowly add the prosecco a little at a time to fill the glass. Using a bar spoon, gently stir the puree in each glass to combine the peach puree with the Prosecco.
Serve with a slice of peach and a spring of mint.