Cook pasta according to package directions. Drain and set aside.
Meanwhile, preheat grill to medium-high heat; grease grate well. Toss chicken with 1 tbsp. oil, paprika, garlic and half of the salt and pepper. Grill for 5 to 7 minutes per side or until cooked through; let stand for 5 minutes. Slice thinly.
Whisk together remaining oil, balsamic glaze, lemon zest, lemon juice and remaining salt and pepper.
In large bowl, combine pasta, spinach, strawberries and basil; divide among 4 bowls. Top with sliced chicken. Add freshly grated Parmesan cheese to this salad if desired.