Step 1In a small saucepan over medium-high heat, bring the sugar and two-thirds cup water to a boil. Remove from the heat. Add one cup of ice to the syrup and set aside to cool.
Step 2Place the Thai basil leaves in a small bowl. Bring 2 cups of water to a boil, then remove from the heat and add the basil leaves. Strain the leaves from the water and add them to the simple syrup. In a blender, thoroughly puree the strained leaves with the simple syrup. The syrup will keep in the refrigerator for 3 days. Makes 1 cup.
Step 1In a shaker half-filled with ice cubes, combine the gin, Thai basil syrup and lime juice. Shake well. Strain into a martini glass and garnish with a slice of fresh lime floating on top of the drink.