Possible Clues:

• Open out
• Open out, as a carpet
• Open out list containing Ban Ki-moon's name?
• Open out from a curled-up state
• Gradually reveal peacekeeper's function, we hear
• Display, as carpeting
• Lay out, as a new rug
• Ready, as a red carpet
• Flatten out bun, skipping the first bread product
• Spread, as a yoga mat