To make the balsamic honey sauce, combine the balsamic vinegar and honey in a small saucepan over medium-low heat. Simmer, stirring constantly, until the liquid is reduced by about half (15 minutes or more). Pour the liquid into a small bowl to cool while you make the panini.
On two slices of bread, place 3-4 slices of brie (depending on the size of your bread.) Top each with half of the sliced strawberries, half of the bacon, and half of the arugula, more brie, and then the other two slices of bread.
Heat panini press and place both sandwiches inside, close to press.
Cook until nicely browned and brie is nice and melty.
Slice each sandwich in half and serve warm with the balsamic honey sauce.