Preheat grill to medium-high heat.
Season chicken breasts with Greek seasoning on both sides.
Drizzle olive oil over the chicken breasts and rub to coat evenly.
Place chicken on the grill and cook for about 6-8 minutes per side, or until cooked through and juices run clear.
Remove chicken from the grill and let it rest for a few minutes.
Warm the tortillas on the grill or in a skillet for a few seconds on each side.
Spread a thin layer of hummus on each tortilla.
Slice the chicken breasts into strips.
Divide the chicken, cucumber, red onion, tomato, kalamata olives, and feta cheese evenly among the tortillas.
Top with fresh parsley.
Fold the tortillas tightly, tucking in the sides as you roll.
Serve immediately and enjoy!