Place the blueberries in a blender and pulse several times. Add Arrogante Reposado tequila, Cointreau orange liqueur, freshly squeezed lime juice and 1 teaspoon of sugar. Blend the ingredients together until smooth.
Slowly add a few cubes of ice at a time and process until the drink reaches the desired consistency and thickness. The cocktail should easily flow out of the blender cup. If the cocktail is too thin, add more ice. If it is too thick, add more blueberries.
Pour the blended mixture into a chilled highball glass and garnish with several blueberries. Serve with a straw.