In a 10 to 12-inch saute pan, heat the olive oil over medium heat. Add the onion, 1 sprig parsley, mint, and garlic. Cook, stirring, until the onion starts to soften, about 5 minutes. Add the vinegar and allow it to evaporate completely.

Add the tomatoes and their juices. Bring to a boil over medium-high heat and cook until slightly reduced, about 15 minutes. Remove the garlic and parsley and discard.

Add the remaining parsley and the basil to the sauce and stir in. Gently break the eggs into the sauce, cover and simmer 5 minutes. Remove the skillet from the heat and let rest for 5 minutes. Serve hot with grilled bread and garnish with fresh mint leaves.