For the toast: In a medium saute pan set over medium heat, heat 2 tablespoons of the oil. When shimmering, add bread slices and toast for 2 minutes on each side. Remove and set aside. Add garlic, 1 tablespoon olive oil, and 1 tablespoon water to the pan. Saute until garlic is soft, 1 to 2 minutes. Add butter and sesame seeds and toast 1 more minute. Spoon sesame-garlic mixture over toasted bread.
For the cheese: Arrange provolone in an even layer in a baking dish and sprinkle with Parmigiano. Place in the oven to melt, 6 to 8 minutes. Remove and pour half of the gin over the cheese; ignite the gin using a long match or a click lighter. Once the flames die out add more gin and flame again. Serve with toasted baguette pieces, apples and fennel.
Use extreme caution when igniting alcohol. Remove the pan from the heat source before adding the alcohol. Pour the alcohol into the pan and carefully ignite with a match or click lighter. Return the pan to the heat and gently swirl to reduce the flames.