Grate the cheese on a coarse grater. If using garlic, grate 1 clove and add to the cheese.
In a bowl, combine the grated cheese with roughly 1 tbsp softened butter, a small amount of vegetable oil, and 1 tbsp dill.
Stir in 1-2 tbsp sour cream, salt, and pepper until well combined.
Spread the cheese mixture in an even layer on the bread slices, place on a baking sheet, and bake in a preheated oven at 180°C (350°F) for 10-15 minutes until the cheese is melted and lightly golden.