Place the water, milk, butter, green onion, cilantro and salt in a medium-large pot and bring to a boil on high heat. Right before it starts boiling, reduce to medium low and keep it at a slow simmer. Remove the green onion and cilantro.

Now, add the eggs one at a time and cook for 3 minutes for a soft yolk or 6-8 minutes for a hard yolk. It's easier if you place the egg in a small container before adding it to the hot pot. Also, using fresh eggs makes it easier to poach them.

Serve immediately with toasted bread and garnish with chopped green onion and cilantro.