Clean the leeks thoroughly to remove any dirt or grit. Slice them into 1-inch pieces.
Peel and cut the potatoes into chunks.
In a large pot or Dutch oven, melt the butter over medium heat.
Add the leeks and sauté until they start to soften, about 5 minutes.
Add the potatoes to the pot and stir to combine.
Pour in the white wine and broth, and bring the mixture to a boil.
Reduce the heat to low, cover, and simmer for about 20-25 minutes, or until the potatoes are tender.
While the leeks and potatoes are simmering, prick the sausages with a fork to prevent them from bursting.
In a separate pan, gently simmer the sausages in water for about 15-20 minutes, or until fully cooked.
Once the potatoes are tender, stir in the heavy cream.
Season the stew with salt and black pepper to taste.
Continue to simmer for another 5-10 minutes, allowing the flavors to meld together.
Ladle the leek and potato stew into bowls.
Place a cooked sausage on top of each serving.
Garnish with freshly chopped parsley.
Enjoy your meal!