Combine olive oil and shallots or red onion in a nonstick skillet over medium heat. Sauté until onions are coated and softening. If using dried whole figs, cut into 1/4" sliced and add them and the balsamic vinegar to the pan. Sauté 2–5 minutes until figs soften and are nicely coated. Remove from heat.
Spread cheese on crostini or crackers to lightly cover and evenly distribute. Top with one or two small pieces arugula or mixed greens. Top with fig/onion mixture or fig jam then the sauteed shallots (and a garnish of fresh herbs).