Preheat a grill or grill pan to medium-high heat. Brush the peach halves with olive oil and grill until lightlycharred, about 2-3 minutes per side. Remove from heat and set aside.
In a large mixing bowl, combine the baby arugula, crumbled goat cheese, chopped walnuts, and choppedbasil
In a small bowl, whisk together the olive oil, honey, apple cider vinegar, Dijon mustard, salt, and pepper.
Divide the salad among four plates. Top each plate with two grilled peach halves.
Drizzle the dressing over each plate and serve immediately.