Arrange all the ingredients conveniently. Place the frying pan over low heat. Remove the butter from the refrigerator in advance to allow it to soften. Cut the cheese into thin slices.
Spread butter on one side of each slice of bread.
Place the cheese (maybe in 2 layers) on one slice of bread (on the side that you did not grease with butter). Use another slice of bread to cover the top of the cheese (butter side out).
Fry the sandwich in a frying pan over moderate heat until crisp, 1.5-2 minutes on each side. During this time, the cheese filling will melt. The oil you coated the bread with is enough for frying, so don't add extra oil to the pan, otherwise the sandwiches will turn out too greasy.
You can serve the dish by placing it on a beautiful wooden cutting board and garnishing with dill sprigs.