Peel the potatoes, wash, halve and pat dry. Heat the oil in a pan and fry the potatoes in it at medium heat for about 20 minutes, turning occasionally. Meanwhile drain the artichokes and cut them in half lengthwise.
Wash, clean and quarter the tomatoes. Cut the quarter crosswise in half. Peel and halve the shallots. Wash parsley, dab dry and pluck. Cut parsley into fine strips, except for a little bit for garnishing.
About 5 minutes before the end of the cooking time, add the shallots and artichokes to the potatoes and fry them. Add the tomatoes and deglaze with the white wine. Fry for 2-3 minutes more. Season with salt and pepper and sprinkle the parsley on top.
Serve in the pan.