In a medium bowl, combine the chopped hard-boiled eggs, mayonnaise, Dijon mustard, red onion, and chopped parsley. Mix well until the ingredients are evenly incorporated.
Season the egg salad mixture with salt and pepper to taste. Adjust the seasoning according to your preference.
Lay out the whole wheat tortillas on a clean surface. Divide the mixed greens evenly among the tortillas, spreading them in a line across the center of each tortilla.
Spoon the egg salad mixture over the mixed greens, dividing it equally among the tortillas.
Top the egg salad with sliced cucumbers, bell peppers, and shredded carrots. You can also add additional toppings like avocado or sprouts if desired.
To wrap the tortillas, fold in the sides of each tortilla, then roll it up tightly from one end to the other, securing the wrap with a toothpick if needed.
Heat a non-stick skillet over medium heat. Place the wrapped tortillas in the skillet, seam side down, and cook for 2-3 minutes on each side, or until the tortillas are lightly toasted and crispy.
Remove the wraps from the skillet and let them cool for a few minutes. Slice each wrap in half diagonally, if desired, for easier serving.
Serve the Egg Salad Wraps immediately or refrigerate them for later use. They can be enjoyed as a complete meal or paired with a side of fresh fruit or a small salad.