Preheat a grill on high heat. Line a baking tray with baking paper.
Place mushrooms onto baking tray and brush both sides with olive oil. Place under grill and cook for 2-3 minutes on each side or until just tender.
Meanwhile, place eggs, milk, chives and salt and pepper into a medium bowl. Whisk until well combined.
Heat 1 tbs olive oil in a non-stick frying pan over medium heat. When the oil is hot, add egg mixture and cook for 2-3 minutes or until egg just starts to set. Stir gently and cook a further 1-2 minutes or until cooked to your liking.
To serve, place 2 mushrooms onto each serving plate. Top with scrambled eggs. Season with salt and pepper and serve with toasted sourdough.