Using a mandolin, or carefully with a knife, thinly slice onions. Add butter to skillet and then add onions. Cook on medium heat, stirring often for about 25-35 min or until onions have softened completely and become jammy and browned. If pan gets dry, add a little splash of water to keep from sticking or burning.
Add neutral oil to skillet and add garlic clove. Cook for about 2 min and then add ground beef. Season with salt and pepper. Cook, breaking the beef up with a wooden spoon into small pieces, until cooked through, about 5 minutes. Add balsamic, and garlic powder. Cook, stirring constantly, until deeply browned in spots, about 2 minutes.
Add one wheel of Boursin cheese and add directly to the warm pan. With the skillet on low, gently fold the cheese into the beef until everything is creamy, smooth and combined. Slice open potato rolls. Add a layer of boursin ground beef and a layer of caramelized onions. Dice chives and sprinkle overtop along with another drizzle of balsamic glaze. Close and serve. Enjoy!