Heat your oven to 200°C (400°F). Line a baking tray with parchment and brush lightly with oil.
Put all the patty ingredients (not the cheese cubes) into a large bowl. Mix with your hands until just combined – don't overdo it.
Divide into 10-12 equal portions. Flatten each portion in your palm, place a cheese cube in the centre, wrap the meat around it completely, then shape into a patty about 1.5cm thick.
Arrange the patties on your prepared tray with space between them. Brush the tops with olive oil.
Bake for 12-14 minutes. Remove from oven, sprinkle the grated cheese over each patty, then bake for another 5-8 minutes until the cheese melts and bubbles and the centres reach 71°C.
Rest for 3 minutes, scatter over herbs if using, then serve while hot!