1. Preheat grill to medium-high heat.
2. Place asparagus in a shallow dish. Add 1 tablespoon oil and 1/4 teaspoon salt, tossing well to coat. Place asparagus on grill rack coated with cooking spray; grill 4 minutes or until crisp-tender, turning after 2 minutes.
3. Combine remaining 1/4 teaspoon salt, vinegar, and next 3 ingredients (through garlic); stir with a whisk. Slowly pour remaining 2 tablespoons oil into vinegar mixture, stirring constantly with a whisk. Stir in capers. Arrange asparagus on a serving platter; drizzle with vinaigrette, and sprinkle with basil.
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