Combine cucumber, red onion, tomatoes, parsley, lemon juice, and chili powder in a bowl until well-dressed. Cover and refrigerate until service.
For service, set grill to medium high. For each serving, grill 3 kofta until well marked on both sides and an internal temperature of 155°F is reached.
Warm one half pita pocket on grill.
Spread 1/4 cup of sauce inside of the warmed pocket half. Place 3 grilled koftas inside each wrap and top with 1/3 cup of vegetables. Serve warm with a side of fries.