Blend the honeydew cubes until smooth.

Strain the puree through a fine mesh strainer into a pitcher to yield about 1 cup of honeydew juice.

Stir in the lime juice and agave syrup.

Add the chilled white wine and stir gently.

Fill glasses with ice, pour over the wine mixture, and top each with a splash of soda water.

Garnish with fresh mint and a honeydew ball or two.