Preheat the oven to 180°C.
Roll out the first pack of puff pastry on a floured surface, using a small plate just larger than the patty, cut 2 circles from the pastry. Place 1 burger patty on top of each pastry round and wet the edges with a little water.
Top with a generous dollop of chakalaka and grated vegan cheese.
Repeat the process of cutting 2 circles from the second roll of pastry and place the circles over the top of the burgers.
Using a fork, seal the edges well and brush the top of the pies with a little olive oil. Sprinkle with sesame seeds then bake for 30-40 minutes, or until golden brown on top.
Serve the pies with a side of crispy baked potato wedges and tomato sauce for dipping.