In a large bowl, mix the flour, sugar, and salt. Create a small well in the center of the flour mixture. Pour the warm milk into the well and sprinkle in the yeast. Add the egg and softened butter directly into the well.

Mix everything together until a dough forms. Knead with your hands, a hand mixer with dough hooks, or a stand mixer for about 10 minutes, until smooth and elastic.

Cover the bowl with a towel and let the dough rise in a warm place for 1–1.5 hours, or until doubled in size.

Divide the dough into 6 equal pieces. Roll each into a smooth ball and place them on a parchment-lined baking tray. Cover lightly and let rise again for 30–40 minutes.

Mix 2 tbsp milk with 1 egg. Brush the buns with the mixture. Sprinkle with sesame seeds if desired.

Preheat the oven to 175°C (top & bottom heat). Bake the buns for about 32 minutes, until golden brown.

Brush the hot buns immediately with melted butter. Cover with a clean kitchen towel and let rest for at least 30 minutes. This step keeps them soft and pillowy.