In a large covered saucepan over high heat, bring the water and 1/2 teaspoon of salt to a boil. Add the peas and cook 1 minute for frozen and 3 to 3 1/2 minutes for fresh. Remove from heat, drain in a colander and immediately plunge the peas into ice cold water to stop the cooking. Drain and set aside.
In a medium mixing bowl whisk together the red wine vinegar, shallot, salt and pepper. Slowly drizzle in the olive oil while continuing to whisk. Add the peas, mint, parsley and cheese and stir to combine. Cover and allow to sit in refrigerator for 15 to 20 minutes prior to serving.