For the Basil Simple Syrup: Combine 1 cup sugar and 1 cup water into a sauce pan with 10 basil leaves. Bring to a rolling boil and stir until the sugar has dissolved. Remove from stove and let the basil infuse the syrup for 2 hours while it cools. Store at room temperature

For the Basil Infused Blood Orange Cocktail: Combine all the ingredients in a cocktail shaker and shake for 10 seconds until chilled. Strain out the ice and serve in cocktail glasses.