Peel the shallots and halve them lengthwise. Season fillet with salt and pepper. Heat 2 tablespoons of oil in a frying pan. Fry the fillet of beef for about 5 minutes. Remove the fillet.
Put the shallots in the roaster and fry them. Stir in honey, caramelize shallots. Add white wine. Put beef fillet into the roaster, cover and cook over low heat for about 25 minutes. Meanwhile peel, wash and coarsely grate potatoes and carrot.
Season the potato and carrot mixture with salt, pepper and nutmeg. Remove the fillet and shallots from the roaster. Cover with aluminium foil and leave to rest. Peel and chop garlic. Pluck thyme leaves (except for some stems for garnishing) from the stems and chop.
Add cream and thyme to the roaster and let it boil down a little. In the meantime, heat 2 tablespoons of oil in a pan in portions. Fry 16 small Rösti from the potato and carrot mixture spoon by spoon on each side for about 3 minutes.
Season sauce with salt and pepper. Cut beef fillet into approx. 8 slices. Arrange fillets with sauce, shallots and rösti. Garnish with thyme stems.