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Microwave the bread for 15-30 seconds to make it more pliable. Spread one-quarter of the soft cheese on the bread all the way to the edges. Top with a single layer of 2 slices cheddar cheese, 2 slices roasted red peppers and 2 slices mild white cheese.
Starting from one of the shorter ends, roll into a log.
Slice into 9 even pieces.
Melt 1 tablespoon butter on a griddle over medium-low heat. Place the circles on the pan cut-side down. Heat for 3-5 minutes, until the cheese begins to melt and brown.
Flip. Season with a pinch of salt and continue cooking, until golden. Remove to a plate and continue cooking the remaining circles, adding 1 tablespoon of butter to the pan in between batches.
For fun presentation, pierce a lollipop stick into each circle. Serve warm.