Remove the burrata and prosciutto from the fridge. Leave it on the side to rest for at least 10 minutes before you are ready to eat.
Remove the burrata from its liquid and place in the centre of a plate to serve. Partially cover with 1-2 slices of prosciutto.
Smash up the pistachios in a pestle and mortar and sprinkle over the burrata and prosciutto. Drizzle a little olive oil over the dish and serve straightaway.