Preheat oven to 375° F. Lightly oil muffin tin. In blender or food processor, purée cheeses. Add egg and blend mixture well.
By hand, stir dill, parsley, and garlic into cheeses. Spoon mixture into a bowl and cover with plastic wrap. Refrigerate while proceeding with next steps.
Stack sheets of filo dough on a clean, dry surface. Brush each sheet with 1 teaspoon melted butter, and lay buttered sheets one on top of another. Cut piled sheets into 24 squares of 2-1/2 inches each.
Press squares into muffin tin cups, and spoon 1 tablespoon cheese filling into each. Fold edges of filo over filling and lightly brush top of each filo pastry with remaining butter.
Bake for 12 to 15 minutes, watching carefully so that pastries do not burn. Remove from tins, and let them cool slightly before serving.
Servings: