Preheat your grill to medium-high heat.
Prepare the vegetables by washing and cutting them into even pieces.
In a large bowl, combine the vegetables with olive oil, salt, pepper, and garlic powder.
Toss the vegetables until evenly coated.
Place the vegetables in a grill basket or directly on the grill grates.
Grill the vegetables for 10-15 minutes, turning occasionally until tender and charred.
Check for doneness; they should be slightly softened and have grill marks.
Remove the vegetables from the grill and let them cool for a few minutes.
Garnish with fresh basil before serving.
Serve warm as a side dish or over a bed of grains for a main course.