Chop the onion and garlic. Peel and dice the potatoes.
Sweat the onion and garlic in the oil. Add the potatoes and fry briefly. Deglaze with white wine and let it boil down a little. Add the stock and simmer for about 15 minutes. Salt and pepper.
Peel the radish and cut into fine slices. Put a few slices aside and add the rest to the soup and simmer for another 10 minutes. Puree the whole thing. Add the cream and bring to the boil. Season to taste with salt and pepper.
Add the remaining radish to the soup and serve sprinkled with the chives.