Excuse me for hopping in. But grilled cheese is one thing I am a purist about. It is not what you call toasted cheese.
There are two ways to make it. One is to use a sandwich grill (looks like a waffle iron, but without the grids). You butter the outside of two slices of bread (not toast), put the cheese in the middle, and put the sandwich in the grill so that it compresses the bread. Grill until brown on the outside and the cheese is melted.
The second way is to put the sandwich in a frying pan (you might add some extra butter to the pan) and fry it. You use a spatula to compress it, and flip it at least once. Fry until golden and the cheese is melted.
Prying the sandwich apart and squirting some relish into it is a nice addition. :-)
I like ham in mine at well. The sandwich maker/toasters were very popular about 15 - 20 years ago they went out a bit but have made a comeback recently - I do have one but rarely use it.
You have given me taste for doing one tomorrow.