In a small bowl, mix together the paprika, onion powder, garlic powder, curry powder, salt, and pepper. Rub the spice mixture evenly over both sides of the chicken breasts.
Heat the olive oil in a skillet over medium-high heat. Cook the chicken for about 8–10 minutes per side, until fully cooked through.
Remove the chicken from the skillet and let it rest for 10 minutes, then slice it into thin strips.
Lay the tortillas flat and brush each one with Caesar dressing.
Layer the romaine, sliced chicken, Parmesan, and crushed croutons down the center of each tortilla.
Fold the bottom edge of each tortilla up over the filling, then roll tightly to close the wrap.
Place the wraps seam-side down in a dry skillet over medium heat. Toast for 1–2 minutes per side, until the tortilla is lightly golden and the wrap is warmed through.