Dissolve the yeast and sugar in warm (not hot!) water, in a medium-sized bowl. Let it sit for 5-7 minutes until foamy and bubbly. Whisk in the eggs, milk, and salt. Set aside.
Place the flour in a large bowl and make a well in the middle. Pour the yeast mixture into the well and let stand for 30 minutes without mixing.
Pour in the melted butter and mix until a soft ball forms. Transfer to the counter and knead until it is not sticky any more. You may need to add a bit more flour.
Place the dough in a large, oiled bowl and let rise, covered with a damp cloth, for 30 minutes in a warm, draft-free place.
Punch down the dough and transfer it to a floured surface. Divide into 15 equal parts and shape them into balls by rolling them between the heel of your palm and the counter.
Grease a 9x13-inch baking dish with oil and place the dough balls inside. Cover with a damp cloth and let rise for 30 mins in a warm, draft-free place.
Preheat the oven to 400 F. Brush the rolls with melted butter and bake for 15 minutes or until golden brown.