To prepare the shrimp, melt the butter in a saucepan, add the garlic, chile, and lime juice. Simmer the mixture for a couple of minutes. Thread the shrimp on skewers. Baste the shrimp with the chile butter and grill over a medium heat, basting continually with the sauce, for 3 to 4 minutes or until the shrimp turns pink and opaque.
To make the cocktail, combine all the ingredients, except the shrimp and cilantro, in a bowl and gently mix. Divide the mixture into 4 large cups or glasses, such as parfait glasses.
Place all the ingredients for the sauce in a blender or food processor and puree until smooth. Pour over the cocktail mixture, arrange the shrimp around the rim of the glasses, garnish with the chopped cilantro, and serve.
