Cut cream cheese into 8 thin slices. Place 3 slices of cream cheese each vertically on 2 slices of bread.
Place 2 rows of sliced strawberries horizontally on top of the cream cheese. Then place a slice of cream cheese on the top. Sandwich with remaining slices of bread.
Heat butter on the stove in a grill pan.
Place sandwiches in the pan and allow it to cook for 2 minutes. Flip and cook for another 2 minutes.