Heat a tablespoon of olive oil in a large pan over medium heat. Add the onion and peppers and cook until the onions are soft and translucent, about 10 minutes, stirring occasionally.
Add the tomatoes, oregano, and Aleppo pepper. Cook until the tomatoes are soft, another 5-10 minutes. Season with a bit of salt.
Pour in whisked eggs and stir occasionally. Cook until the eggs are still a bit wet but almost set (they will continue cooking off heat). Drizzle with the remaining tablespoon of olive oil and sprinkle with chives before serving.