Mix 2/3 of the cheese into the beaten eggs. Season with salt and pepper to taste. Heat a little oil in large omelette pan and pour in eggs. Make into an omelette. Remove from pan and cut into strips.
Heat the olive oil in a skillet saute the whole garlic cloves. Remove the garlic when it has lightly browned. Add tomatoes and basil. Season to taste with salt and pepper. Cook for 8 minutes, stirring well. The sauce should be well reduced. Toss in the omelette strips and cook another 2 minutes.
Arrange on a serving dish. Dust with parmesan cheese. Garnish with parsley.