Preheat the oven to 175 ˚C. Grease the baking tray with olive oil or line with baking paper.
Put 2 sheets of filo pastry on top of each other. Brush with 2 tablespoons of olive oil. Repeat until the other sheets. Arrange the sheets so they overlap slightly over the baking tray.
Slice the shiitake. Heat the rest of the olive oil in a frying pan. Fry the shiitake on a high heat for approx. 4 mins. Slice the figs into wedges and the tomatoes into slices.
Beat the eggs. Stir the yoghurt, balsamic syrup and honey through the eggs. Season with salt and pepper. Pour the egg mixture evenly over the filo base. Arrange the figs, shiitake and tomatoes on top. Bake the in the middle of the oven for about 20 minutes until golden brown and crispy.