Honeydew Melon Martini Recipe Type: Signature Drinks Author: Chilled Magazine Ingredients 2 1/2 oz. Belvedere Vodka 3 oz. Fresh Honeydew melon puree 1/2 oz. Midori 3/4 oz. Fresh Limejuice 1/2 oz. Triple sec 1/2 oz. Champagne Instructions To make melon puree, simply blend chunks of honeydew in a blender and pass through a strainer.