In a bowl, combine all ingredients for the flavoured oil. Set aside.
Pizza
Preheat grill to high. Oil the grate.
Lightly brush vegetables with the seasoned oil. Place on grill and cook for about 5 to 8 minutes until desired doneness. Season with salt and pepper. Keep warm.
Reduce grill temperature to medium. Oil the grate again.
Brush flatbread with the seasoned oil. Place on grill and cook for 1 to 2 minutes or until bottom of crust is lightly toasted. Turn bread over and brush with pesto.
Top the flatbread with vegetables and cheese. Close lid and cook for about 3 to 4 minutes or until cheese is melted and golden brown. Remove from grill. Sprinkle with Parmesan Cheese shavings and basil. Season with pepper to taste.