In a large mixing bowl, combine the cooked chicken, chopped romaine lettuce, Caesar dressing, and grated Parmesan cheese. Mix until well-coated and glossy. Season with salt and pepper to taste.

Lay out the flour tortillas. Warm them briefly in the microwave for about 10-15 seconds or on a skillet over low heat until pliable.

Divide the chicken Caesar mixture evenly among the warm tortillas, placing it in the center of each one.

Starting from one edge, tightly roll each tortilla, folding in the sides as you go.

Slice each wrap in half diagonally to serve. Arrange the halves on a platter.

If preparing in advance, wrap each half in foil or cling film and store in an airtight container.