Preheat grill for medium-high heat.
Place the ingredients for the basil butter in the bowl and whisk gently with a fork.
Brush the corn with vegetable oil and season with salt and pepper.
Grill for about 10-15 minutes, turning frequently, until corn is charred and tender.
Brush basil butter on each corn cob.
Spriinkle grated Parmesan on each corn cob.
Garnish with minced fresh basil.
Serve with more basil butter, salt and pepper.