Finely chop the onion and garlic. Simmer in hot fat until translucent. Add tomatoes with juice and the spices. Bring to the boil, stir in the broth, rice and salt. Reduce the heat and cook everything with the pan closed.
Drain the tuna, chop it up a little and mix it with the finished rice. Remove the bay leaf, thyme and oregano branches and season again to taste. Sprinkle with chopped parsley.