Rub orange wedges around rims of 8 martini glasses. Invert glasses into a dish of sugar to coat rims; set glasses aside. In a small pitcher, combine the vodka, pomegranate syrup, and vermouth. Place ice cubes in a martini shaker. For each drink, add 1/4 cup of the syrup mixture; shake. Strain into one of the prepared martini glasses. Garnish with a small pomegranate, if desired.

Orange Martinis: Prepare as above, except use 3 tablespoons frozen orange juice concentrate, thawed, in place of the syrup. Omit garnish.

Apple Martinis: Prepare as above except use 1/3 cup frozen apple juice concentrate, thawed, in place of the syrup. Garnish with fresh orange peel curls.