Crack the eggs into a small bowl. Beat the eggs and stir in the fish sauce. Then set aside.
In a pan on Medium heat pour in 1 tablespoon of vegetable oil.
Once the oil is hot, dump in the sliced bitter melons. Toss the bitter melons until the pan is dry then add in 1 1/2 tablespoons of water. Cook the bitter melons until the water has disappeared and the pan is once again dry.
Now turn the heat to HIGH and add 1 tablespoon of butter to the pan. Allow the butter to melt.
Toss the bitter melons with the butter then pour in the beaten eggs. Cook the eggs for about a minute or two until the eggs are slightly set then turn the bitter melons and eggs over. Cook for another minute.
Then toss in a handful of chopped green onions.
Stir until the eggs are cooked and the bitter melons are as tender as desired. I prefer the bitter melons to still have a little bit of bite in them.
Sprinkle black pepper to taste.
( Optional ) Serve with a side of fish sauce with some chopped thai chilis. Fill a small dipping bowl with some fish sauce. Chop one red thai chili and add it to the sauce.