In a medium bowl, mix together the flour and salt. Make a well in the center.
Crack in the eggs and pour in the warm milk. Using a wooden spoon, gradually incorporate the flour into the wet ingredients until a sticky dough forms.
Let the dough rest for 30 minutes at room temperature, covered with a towel.
Bring a medium pot of salted water to a boil. Reduce heat to a gentle simmer.
Working in batches, press or push the dough through a Spaetzle maker or colander into the simmering water.
Cook for 2-3 minutes until the noodles float. Remove with a slotted spoon to a bowl.
Toss the cooked Spaetzle with the 1 tablespoon melted butter. Season with more salt and pepper if desired.
