In a medium skillet, melt the butter over medium heat. Add the onion, sugar, balsamic vinegar, and salt. Cook, stirring occasionally, for 10 minutes, until the onions are soft and lightly caramelized.
Remove from the heat and stir in the olive oil. Set aside to cool.
In a medium bowl, combine the flour and butter. Using a pastry blender or two knives, cut the butter into the flour until the mixture resembles coarse meal.
Add 2 tablespoons of the cold water and stir until the dough comes together. If the dough is too dry, add the remaining tablespoon of water. Gently knead the dough a few times, then form into a disk and wrap in plastic wrap. Refrigerate for 15 minutes.
Preheat the oven to 350°F (175°C). Grease a 12-cup mini muffin tin.
On a lightly floured surface, roll out the dough to 1/4-inch (6-mm) thickness. Cut out 12 circles with a 3-inch (7.5 cm) biscuit cutter. Place the circles in the muffin tin and press gently to fit.
Spoon 1 tablespoon of the onion mixture into each tartlet. Bake for 18-20 minutes, until the crust is golden brown.
Cool in the pan for 10 minutes, then transfer to a wire rack to cool completely. Serve warm.
Interesting Facts
Caramelized onions are a popular filling for tartlets, quiches, and other savory pastries.
Caramelizing onions takes time, but the result is worth the wait!
Balsamic vinegar adds a sweet and tangy flavor to the onions.