Preheat your oven to 400 degrees. Mix the sprouts and 1 tablespoon olive in a small bowl. Season with salt & pepper. Lay the brussels sprouts out on a baking sheet in a single layer. Roast them for 25-35 minutes, or until deep brown & crispy on the outside but tender on the inside.
While the sprouts are roasting, heat one tablespoon olive oil over medium heat. Saute the shallots until caramelized.
In a blender combine the cooked shallots, dijon mustard, honey & vinegar. Blend until combined. Slowly drizzle in the olive oil as you blend. As the vinaigrette thickens, add small amounts of water to adjust the consistency. Season with salt & pepper.
Once the brussels sprouts are done roasting, toss with with as much or as little of the vinaigrette per your taste preference. Keep in remaining dressing in a container in the fridge.