While wings are in the brine, it is time to prepare the balsamic reduction. Pour 1 3/4 cups of balsamic into a small saucepan, bring to a boil, and reduce heat to medium or medium-low. Mixture should be reduced by half within 8-10 minutes. Once balsamic has thickened, stir in apricot preserves and cook for additional 2-3 minutes. Remove from heat and cover tightly and keep warm.
Preheat grill for 325 degrees F or medium heat.
Remove wings from brine and pat dry with paper towels. Apply seasoning rub to wings; coat well. Place wings onto grill and cook for 30-40 minutes turning 4-5 times during cooking process. Watch for burning, and move wings to cooler side of grill if needed.
Once wings have cooked through (internal temperature between 175 degrees F.), and have a nice crispiness and grill marks, remove from heat and arrange onto platter.Option 1: Drizzle with balsamic reduction, and garnish with chopped red onion and parsley. If you're not a fan of red onions, you can substitute with chopped green onions or chives.Option 2: Brush wings with a balsamic reduction and let them cook for an additional 5-7 minutes. Remove from grill, plate, garnish, and serve.