Preheat oven to 350 degrees F.
Using a small knife, trim the stems off the figs and cut the figs in half lengthwise.
Place the figs and the wine in a small saucepan, bring to a simmer over medium-low heat, and simmer about 20 minutes until figs have absorbed most of the wine and they are tender and fat. Remove figs with a slotted spoon to a bowl and reserve for later. Some reduced wine should remain for sauce; return wine to medium heat and simmer again until reduced by half and a syrupy liquid remains. Let cool slightly.
Slice demi-baguette into 1/2-inch slices. Lay the bread slices on a baking sheet and toast lightly in the oven, about 5 minutes. Remove from oven and let cool.
Spread a tablespoon of ricotta on each crostini then lay a small piece of prosciutto on top of the cheese. Place fig halves on top of the meat and finish by drizzling the remaining reduced wine on top of the figs. Serve immediately.