Preheat oven to 400F. Line a large sheet pan with parchment paper and set aside.
Unroll puff pastry onto a floured surface and roll into a 10 x 10 inch square. Cut square into 4 equal pieces and arrange on sheet pan 2 inches apart. Fold 1/2 inch of edges of each pastry square over to create a border and pinch to seal. Prick center of tarts all over with a fork.
Pre-bake tarts at 400F 10 minutes, then remove from oven and set aside for a moment. Keep oven on.
Place tomato slices on a cutting board lined with paper towels and pat dry to remove excess moisture. Keep paper towels on top of tomatoes for 5 minutes while you begin building the tarts.
Press risen pastry down lightly, spread crumbled goat cheese in an even layer inside each of the tarts and sprinkle garlic over top. Shingle 3-5 tomato slices on top of goat cheese and drizzle tomato slices with olive oil and top with salt and pepper to taste. Brush edges of pastry well with egg white wash.
Return tarts to oven and bake for an additional 15-20 minutes until pastry is a deep golden brown and tomatoes are tender.
Remove tarts from oven and top with fresh basil and a drizzle of balsamic glaze. Serve tarts warm and enjoy!