1) Place a griddle pan over a medium-high heat.
2) Place the garlic and parsley in the bowl of a food processor. Pulse until finely chopped. Add the minced beef, Parmesan cheese, tomato puree, salt, and pepper. Pulse until ingredients are combined. Form the mixture into 9 patties. Place the burgers on the griddle and cook for 4 to 5 minutes each side.
3) Brush the cut side of each roll with the olive oil and toast on the griddle for 1 to 2 minutes until slightly golden.
4) To serve, place 1 mini burger on the bottom half of each of the rolls. Place 1 slice of Taleggio cheese on top of the burgers. Place the basil leaf on top of the cheese and cover with the top half. Serve.