To prepare salsa, combine first 7 ingredients. Let stand at room temperature at least 30 minutes.
Prepare grill to medium heat.
To prepare burgers, combine 1 cup onion and next 5 ingredients (onion through egg white), stirring well. Add turkey; mix well to combine. Divide turkey mixture into 4 equal portions, shaping each into a 1-inch-thick patty. Cover and refrigerate 20 minutes.
Lightly coat patties with cooking spray; place on a grill rack coated with cooking spray. Grill 7 minutes on each side or until done.
Cut rolls in half horizontally. Place rolls, cut sides down, on grill rack; grill 1 minute or until lightly toasted. Place 1 patty on bottom half of each roll; top with 1/2 cup salsa and top half of roll.