In a mixing bowl, combine warm milk, sugar, and yeast. Let it sit for about 5 to 10 minutes until frothy.

Add the melted butter and egg to the yeast mixture. Stir until well combined.

In a separate bowl, whisk together 3 1/2 cups of flour and salt.

Gradually add the dry ingredients to the wet mixture. Mix until a soft dough forms.

Transfer the dough to a floured surface and knead for about 5 minutes until smooth and elastic.

Place the dough in a greased bowl, cover it with a kitchen towel, and let it rise in a warm spot for about 1 hour, or until doubled in size.

Punch down the dough to release air, then divide it into 12 equal pieces. Shape each piece into a ball.

Place the shaped buns on a baking sheet lined with parchment paper.

Cover the shaped buns with a towel and allow them to rise for an additional 30 minutes.

Preheat your oven to 350°F and bake the buns for 15 minutes or until golden brown.

Brush the buns with softened butter right after baking.