You can adjust the sweetness and thickness of the onion jam by adding more or less of the brown sugar and simmering for longer or shorter.
Feel free to experiment with different types of cheese for the grilled cheese such as swiss, fontina, or provolone.
Serve the french onion grilled cheese with a side of french onion soup, beef consomme, or tomato soup.
The onion jam can be made ahead of time and stored in an airtight container in the refrigerator for up to 1 week.