Clean the salad and place it in a large salad bowl.
Combine yogurt, avocado, garlic, parsley, lime juice, red wine vinegar, olive oil and salt in a blender and process until smooth. Add more oil if need be.
Mix the salad, radishes with the avocado dressing. Place a mound in a dish.
Slice the hard boiled eggs and place them alongside the salad.
Sprinkle the shaved Parmesan cheese in top of salad.