Spread vegan butter on the outside of each slice of bread and dijon on the inside of each slice.
Thinly slice the jack style wedge and place on one slice of bread, then add thin slices of apple, fresh basil leaves, and top with the cheddar style shreds. Place the other slice of bread on top.
Heat a non-stick pan or grill pan over medium. It's best if you assemble the sandwich with the cheese products placed closest to the bread so it melts faster. Each side should take 4 to 5 mins, but check to make sure it doesn't burn. When one side is golden and crispy flip the sandwich and grill the other side.