Pour the lentils into a saucepan with water, salt and caraway seeds. The water should cover the lentils by a finger`s breadth. Let the lentils cook for about 20 minutes with the lid closed until they are cooked through.
Heat olive oil in a new saucepan and sauté the onions until translucent. Add the bulgur and fry briefly. Tilt the cooked lentils and fill with water until everything is covered. Cook with the lid on for about 20-30 minutes.