Whisk the eggs with salt and black pepper in a bowl until smooth.
Heat olive oil in a nonstick skillet over medium-low heat. Add the eggs and cook slowly, stirring gently, until soft and creamy.
Warm the tortillas in a dry skillet for about 20 seconds per side to make them flexible.
Spread ajvar across the center of each tortilla.
Add scrambled eggs, sirene cheese, roasted peppers, cucumber, tomato, parsley, and green onions.
Add chili oil or additional toppings if desired.
Fold the sides inward and roll tightly into wraps.
Place the wraps seam-side down in a skillet and toast for 1–2 minutes per side until lightly golden and crisp.
Serve warm.