Preheat a grill or grill pan over medium-high heat.

Season both sides of the hamburger patties generously with salt.

Place the burgers on the grill and cook until the edges begin to caramelize, for 3 to 4 minutes.

Flip the burgers and place a slice of tomato on each. Cover the grill and cook to desired doneness, a couple minutes or so more. (If using a grill pan, cover the burger with a metal bowl.)

Transfer the hot burger to a serving dish.

Top with half a ball of burrata and a generous sprinkling of flaky sea salt.

Drizzle some oil and balsamic glaze over the burger, and garnish with torn basil and freshly ground black pepper; serve immediately.