Combine the mixed berry juice, orange juice, water, and honey in a medium saucepan.
Add the cinnamon stick, cloves, and half of the orange slices to the pan.
Heat the mixture over medium heat until it reaches a gentle simmer, then reduce the heat and cook for 8 minutes to infuse the spices.
Remove the pan from the heat and let the mixture cool to room temperature.
Strain the mulled liquid into a pitcher to remove the spices and cooked orange slices.
Stir in the chilled sparkling water just before serving to preserve the fizz.
Fill four glasses with ice, pour the punch over the ice, and garnish each glass with fresh berries and the remaining orange slices.