Halve the avocado, remove the pit and peel the avocado. Cut into slices. Place the slices into a bowl and toss them very gently with the juice of half the lime.
Slice the tomatoes and cut the red onion into thin slices as well.
Arrange the salad on two plates. First, the tomato slices, followed by the onion rings, and then the avocado slices.
Drizzle the salad with olive oil, more lime juice to taste, and add some salt and freshly ground black pepper. Sprinkle the salad with chopped parsley or coriander.