Cook Soba noodles into boiling salted water for 2-3 minutes. Once noodles are cooked, transfer them in a colander and rinse well under cold running water to get rid of the starch.
Cut the mushrooms in thin slices. In a large bowl beat eggs with grated cheese, salt and pepper. Add noodles and mushrooms to the egg and cheese mixture and mix well.
Coat a small-medium baking pan with oil and transfer the noodles+eggs mixture into it.
Bake at (190°C, 375°F, gas mark 5) for about 10 minutes.