Preheat the grill on medium high heat or preheat the oven to 375 degrees F.
Lay out 4 pieces of aluminum foil large enough to fold around the fish while leaving a little extra room. One sheet for each personal portion. Drizzle a little olive oil so it does not stick.
Lay a fish filet in each of the aluminum foil sheets. Top the fish with lemons, shallots, tomatoes, Italian Seasoning and salt and pepper to taste.
Grab the aluminum foil on each side of the fish and fold over making sure you leave room for the fish to steam inside. Fold over each of the ends to seal in the juices of the fish.
Bake fish in an oven or grill fish on an outdoor grill for about 12-15 minutes (depending on the thickness of the fish) or until flakes easily with a fork. (Start checking your fish at 9 minutes as it all depends on the thickness of your fish)
Serve the fish in their little packets and let your guest open them. Drizzle with a little extra virgin olive oil and garnish with fresh basil, and lime wedges. Serve with fresh green salad, or favorite roasted vegetables.

NOTE:
Red Snapper Hobo Packets can be made with your fish of choice.
You can prep your fish packets up to 24 hours in advance and lay them flat on a baking sheet. Additional vegetables can be added to the packets such as mushrooms, or summer squash.