Cut the bell peppers in half, remove seeds and place them on baking sheet covered with oiled aluminum foil. Roast in the oven under the grill at 450ºF (230 ºC) or until skin blackens. Remove from the oven and close le foil paper on the peppers and let them cool down. Once cooled, peel off the skin and cut in slices.
Garnish 4 tortillas with half of the cheese, add the olives, tomatoes, peppers and shaved turkey. Add the remaining cheese and cover the garnish with remaining tortillas, press them well.
Heat a large frying pan to medium heat and cook the quesadillas 2 minutes. Flip them delicately using a large spatula and continue cooking until cheese has melted. Serve immediately.
Tip from the chef
Cut the quesadillas in small slices to serve them as tapas at your next family gathering.