In a skillet over medium heat, melt the butter. Add the sliced red onion and stir to coat. Sprinkle in the sugar and cook for about 20-25 minutes, stirring occasionally, until the onions are golden brown and caramelized. Towards the end of cooking, add the balsamic vinegar and cook for an additional 2-3 minutes until the liquid has evaporated. Remove from heat and set aside.
While the onions are caramelizing, thinly slice the Yukon gold potatoes. Heat oil in a frying pan over medium-high heat. Once hot, carefully add the potato slices in a single layer, frying until golden and crispy on both sides, about 3-4 minutes per side. Transfer to a paper towel-lined plate to drain excess oil and season with sea salt.
Season the filet mignon steaks generously with sea salt and pepper. In the same skillet used for the onions, increase the heat to high. Add a drizzle of oil and once hot, add the steaks. Cook for about 4-5 minutes on each side for medium-rare, or until your desired doneness is reached. Remove from heat and let rest for a few minutes.
On each crispy potato slice, spread a generous amount of Boursin Garlic & Fine Herbs Cheese. Top with a slice of the cooked steak and a spoonful of caramelized onions. Finally, add a handful of baby arugula on top for freshness.
Arrange the steak appetizer on a platter and serve immediately. Enjoy the delightful combination of flavors and textures in every bite!