Warm the milk to 105°F, stir in the yeast and 1 tablespoon of the sugar, and let it stand for 8 minutes until foamy.
Mix in the remaining sugar, 6 tablespoons melted butter and the eggs, then add the flour and salt and knead for 8 minutes until smooth and slightly tacky.
Place the dough in a greased bowl, cover, and let it rise for 60 to 75 minutes until doubled.
Divide the dough into 18 equal pieces, shape them into tight balls, and arrange them in a buttered 9-by-13-inch pan.
Cover and rise for 35 to 45 minutes until the rolls touch and look puffy, while heating the oven to 375°F.
Bake for 16 to 18 minutes until golden and 190°F in the center, then brush with the remaining 2 tablespoons butter.