Combine all the liquid ingredients and ice in a cocktail shaker. Shake vigorously for about 10 seconds.
Strain the drink into a martini glass. Garnish with two lychee on a cocktail pick and serve.
For a slightly stronger version, increase vodka to 1 1/2 ounces and drop lychee liqueur to a 1/2 ounce. For a slightly less strong version, decrease vodka to a 1/2 ounce and increase lychee juice by 1/2 an ounce.