01 - Preheat a grill pan or skillet over medium-high heat. Lightly brush chicken breasts with olive oil and season evenly with salt, black pepper, and garlic powder. Grill for 5 to 6 minutes per side, or until the internal temperature reaches 165°F (74°C). Allow the chicken to rest, then slice thinly against the grain.
02 - In the same pan used for the chicken, add a touch more oil if necessary. Add the thinly sliced red bell pepper and red onion. Sauté for 3 to 4 minutes, until they are just beginning to soften. Incorporate the baby spinach and cook until it is just wilted, approximately 1 minute. Remove the vegetables from the pan and set aside.
03 - In a medium saucepan, melt the unsalted butter over medium heat. Add the minced garlic and cook until fragrant, about 1 minute, being careful not to burn it. Pour in the heavy cream and bring it to a gentle simmer, stirring occasionally. Gradually whisk in the freshly grated Parmesan cheese until the sauce is smooth and well combined. Stir in the pinch of nutmeg, if using. Season the sauce with salt and pepper to your preference. Remove from heat.
04 - Gently warm the large flour tortillas in a dry skillet over medium heat or in the microwave until they become pliable and easy to roll.
05 - Lay each warmed tortilla flat on a clean surface. Down the center of each tortilla, arrange a portion of the sliced grilled chicken, followed by the sautéed vegetables. Drizzle a generous amount of the prepared Alfredo sauce over the fillings. Sprinkle each wrap with shredded mozzarella cheese. Fold in the sides of the tortilla and then roll it up tightly from the bottom to enclose the filling.
06 - For an enhanced texture, place each assembled wrap seam-side down in a clean, dry skillet over medium heat for 1 to 2 minutes per side, until lightly browned and crispy.
07 - Slice each wrap in half diagonally. Garnish with fresh chopped parsley, if desired. Serve immediately for optimal enjoyment.