Place about 5 inches of oil in a pot over medium-high heat. Attach a deep-fry thermometer and adjust so the heat maintains between 325 and 350 degrees.
In a small bowl, beat together the eggs and milk. In a separate bowl, add the Italian breadcrumbs.
Working in batches, dip the raviolis in the milk mixture and then dredge in the breadcrumbs. Fry until golden brown on both sides, about 1-2 minutes per side. Use a metal slotted spoon to remove from oil, and allow to drain on a stack of paper towels.
Place half of the raviolis on a serving platter. Top with a slice of mozzarella, and then a slice of tomato, some basil, and a drizzle of balsamic glaze. Top with remaining raviolis and secure the stack with a toothpick.