Take the puff pastry out of the fridge about 10 minutes before processing. Wash and clean the tomatoes and cut them into 3 thick slices. Unroll the puff pastry and cut into 40 squares (each approx. 5 x 5 cm). Put the puff pastry on 2 baking trays lined with baking paper.
Cover each puff pastry with 1 slice of tomato. Season with salt and pepper. Bake the baking trays one after the other in a preheated oven (electric cooker: 225 °C/ convection oven: 200 °C/ gas: see manufacturer) for 10-15 minutes each.
Wash the basil, shake dry and pluck the leaves and chop them finely. Peel the garlic and press it through a garlic press. Mix oil with basil and garlic. Season with salt and pepper. Remove pizzas from the oven, sprinkle with basil oil and serve immediately.