Classic Breton buckwheat galette folded into a square envelope around savory French cooked ham, melted Gruyère cheese, and a sunny-side-up runny egg, brushed with salted butter.
Melt salted butter on a wide crepe pan or skillet over medium heat. Lay one buckwheat galette flat.
Scatter grated Gruyère in the center, lay a slice of ham over the cheese, and crack an egg directly onto the ham.
Cook gently until the egg white is opaque and set while yolk remains runny. Fold the four sides of the galette inward to form a neat square frame around the yolk.
Brush the crisp outer pastry with extra melted butter, grind black pepper over the yolk, scatter chives, and slide onto a warm plate.