In a shaker with ice, combine the Sangrita Viuda de Sanchez and gin. Shake well.
In a pan, heat some olive oil over medium heat. Add the large shrimp and shrimp tails and sauté until pink and cooked through. Season with salt, Chili and lime and black pepper to taste.
Pour the Sangrita Viuda de Sanchez and gin mixture into a glass.
Place the shrimp around to dip and garnish with cilantro sprigs and a lemon wedge.