1. Peel the potatoes and cut them into quarters.
2. Heat oil in a Dutch oven, add the potatoes, salt, and pepper.
3. Cook for 10 minutes, stirring to prevent sticking, and cover.
4. Meanwhile, cut the corned beef into cubes, add it to the Dutch oven with the potatoes, and stir again.
5. Add the shallot and stir.
6. Cook for 15 to 20 minutes.
7. Serve with a green salad.