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Season steak with salt and pepper. Brush onion with oil. Grill steak to desired doneness. Grill onion until tender.
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Cut ciabatta lengthwise in half. Evenly arrange Beemster on both sides of ciabatta. Place on top rack of grill and grill until Beemster is melted.
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Slice steak and arrange on bottom ciabatta and top with onion ciabatta top. Slice and serve.