Place the 2 slices of white toast on a clean work surface. Evenly spread the 1 tablespoon softened butter over one side of each slice so both outer sides are buttered.
Turn the slices so the unbuttered sides face up. On one slice, spread 2 tablespoons creamy peanut butter evenly over the unbuttered side.
On the other slice, spread 2 tablespoons marshmallow creme evenly over the unbuttered side.
Arrange the 1/2 banana (sliced) in a single layer on top of the peanut butter.
Close the sandwich with the marshmallow-creme-topped slice so the buttered sides face out.
Heat a grill pan or nonstick skillet over medium heat until hot. Place the sandwich in the pan and cook the first side until golden and crispy, about 2–3 minutes, pressing gently with a spatula.
Flip the sandwich and cook the other side until golden and the filling is warm, about 2–3 minutes.
Transfer the sandwich to a plate, let sit about 30 seconds if desired, then serve immediately.