01 - Preheat a grill or grill pan over medium-high heat.
02 - Rub chicken breasts with olive oil, kosher salt, and freshly ground black pepper. Grill each breast for 6 to 7 minutes per side, or until fully cooked. Transfer to a cutting board, allow to rest for 5 minutes, then slice thinly.
03 - Lightly brush nectarine halves with olive oil. Place cut side down on the grill and cook for 2 to 3 minutes or until grill marks appear and the fruit has softened slightly. Slice each half into wedges.
04 - In a small mixing bowl, whisk together extra-virgin olive oil, balsamic vinegar, honey, Dijon mustard, minced garlic, and a pinch of salt and pepper until the dressing is fully emulsified.
05 - In a large bowl, combine baby arugula, torn basil leaves, grilled chicken slices, grilled nectarine wedges, crumbled feta cheese, and toasted sliced almonds.
06 - Drizzle vinaigrette over the salad and gently toss to coat all components. Serve immediately, garnished with extra basil if desired.