To make the egg cheese sandwich, first of all make sandwich filling
Crush the boiled eggs in bowl with the help of a fork or chop them as per your choice.
Add mayonnaise, salt to taste and crushed black pepper to taste.
Now apply softened butter and one side of the bread.
To assemble egg and cheese sandwich, place bread on a board with buttered side down.
Place a slice of cheese on to this bread, place ¼th amount of boiled egg sandwich filling and cover with another bread slice with buttered side up.
Cut the sandwich into two, diagonally or otherwise, as per your choice. Now you can serve it as it is. Or to make A grilled sandwich follow the next step.
Heat up a sandwich maker, if you are using one. Or otherwise place it in a grilling griddle on stove top. Apply a very less amount of butter and cook the bread on both sides till it is grilled to golden colour.
You need to keep pressing it from both side in between. It helps to melt the cheese and you get a good grilled sandwich texture.