Preheat your oven to 400°F (200°C).
Toss the cubed potatoes with olive oil and half of the sea salt and black pepper on a small baking sheet.
Roast the potatoes for 20 minutes, or until they are golden brown and crispy on the edges.
While potatoes roast, pour the cooking cream into a small oven-safe ramekin or baking dish.
Carefully crack the eggs into the dish over the cream, being careful not to break the yolks.
Sprinkle the eggs with the remaining salt, pepper, and the shredded mozzarella cheese.
Place the egg dish in the oven alongside the potatoes and bake for 10-12 minutes until the egg whites are set but the yolks remain slightly runny.
Toast the slice of white bread until golden and crisp.
In a small bowl, combine the sliced cucumber and halved cherry tomatoes for a fresh side salad.
Serve the hot baked eggs immediately with the roasted potatoes, toast, and salad.