In a saucepan, cover the potatoes with cold water by about an inch. Bring the water to a boil, then lower the heat and simmer the potatoes for 8 to 10 minutes, until the potatoes are tender when tested with a fork.
In a bowl, mash together the eggs and potatoes with a fork until they are combined. Stir in the lemon juice, 2 tablespoons of olive oil, salt, and pepper, and mix well.
Drizzle the remaining olive oil over the egg dish and sprinkle it with the parsley. Serve warm.