In a small bowl, mix together ¼ cup of mayonnaise and 1 tablespoon of Dijon mustard until well combined. Let it marinate for about 10 minutes.

Lay one tortilla flat and spread about 2 tablespoons of the prepared sauce evenly over one half. Layer with shredded chicken, a couple of slices of ham, and a slice of Swiss cheese.

Starting from the edge with the fillings, tightly roll the tortilla away from you, tucking in the sides as you go.

Preheat a skillet over medium heat. Add a drizzle of oil to prevent sticking. Wait until the pan is hot enough.

Place the rolled wraps seam-side down in the skillet. Grill for about 3-4 minutes until golden. Flip and cook for another 3-4 minutes.

Remove from skillet and let rest for a minute. Slice in half diagonally and serve warm.