6 zucchini (about 2 pounds), each cut lengthwise into 3 slices
Preheat the barbecue for high heat.
Coat the zucchini with 1 1/2 tablespoons of olive oil and sprinkle with salt. Grill the zucchini until just charred but still firm, about 3 minutes per side. Transfer the grilled zucchini to a large baking sheet and set aside until cool.
Cut the zucchini slices diagonally into 1-inch pieces.
Heat a large sauté pan over medium heat. Add the remaining 1 tablespoon of oil, and then add the chili and garlic and sauté until fragrant, about 30 seconds. Add the zucchini pieces and toss until warm and then pour in the vinegar and toss to coat. Add the basil leaves and toss.
Season to taste with salt and pepper and serve warm.