Start by removing the skin, washing under water and cutting the potatoes into smaller pieces of similar sizes. In a large pot on high heat, add potatoes, cold water and salt. The best is to add cold water together with the potatoes and let the water boil in the pot. Once the water is boiling, reduce the heat to medium and cook the potatoes for 20 minutes.
While the potato is cooking, make sure to remove the butter from the fridge.
In parallel, we can prepare the boiled eggs. Make tiny holes into the eggs with an egg picker. Boil water (enough to cover the eggs) and once the water is boiling, carefully add the eggs into the pot. You can reduce the heat to medium after the water starts boiling. Cook it for 8-9 minutes. The idea is to have hard boiled eggs at the end. When the time is up, remove one egg at a time from the pot and put them under cold water for 10 seconds.
When the egg is cold enough to be handled by hand, remove the shells, cut into slices and reserve.
When the potatoes are done. Drain the water and mash them with a potato press (as if you were to make mashed potatoes).
In the same pot you cooked the potatoes, place the mashed potatoes back. Add the butter, milk, salt, pepper and nutmeg. Mix it well. Adjust salt and pepper as per your taste.
The potato base for the pie is ready.