Bring pineapple juice, vinegar, honey, Dijon, and butter to a boil in small saucepan over medium-high heat. Reduce heat to low and let simmer for 5 minutes.
In a small bowl, stir together the cornstarch and 1 Tablespoon balsamic until smooth. Add that mixture to the sauce and whisk until thickened, another 1 minute.
Transfer to a gravy boat or serving dish.
Serve with ham, pork chops, pork tenderloin, or chicken and garnish with Pineapple Slices
