Cut the vegetables and potatoes into chunks, thread onto a skewer, alternating the different kinds, and dredge the skewer in the breadcrumbs.
Arrange the skewers on a baking sheet covered in parchment paper, dress with a drizzle of olive oil and sprinkle with Grana Padano.
Bake in a preheated oven at 200 °C for 30-35 minutes, turning the skewers every so often so that they cook evenly.
Serve hot with basil leaves and a sprinkle of Grana Padano.