Fill a cocktail shaker halfway with ice. Place pomegranate juice, vodka, Cointreau, sparkling water, and lemon juice; shake. Pour strained liquor into sugar-rimmed martini cocktail glass. Garnish each with some pomegranate seeds.
NOTE: To create a sugar-rimmed glass, take a lemon or lime wedge and rub the drinking surface of the glass so it is barely moist. Dip the edge of the glass in the sugar.
Makes 2 serving.
Pomegranate Juice Recipe:
To make Pomegranate Juice, cut a ripe medium-sized pomegranate in half and squeeze with any conventional juicer or press. If necessary, also strain the juice through a mesh strainer.
Each Pomegranate should yield about 4 ounces (1/2 cup) of juice.