In another pot, cook chopped onion in olive oil. Add the rice, and stir quickly.
Pour the white wine, and cook for 1 minute so alcohol can evaporate.
Once the stock has boiled, add some in the rice.
Once the rise has absorbed the stock, add some more, and let it cook. Keep doing this step until there's no stock to add anymore. Don't forget to salt and pepper.
Meanwhile, grill the chorizo cut in little pieces in a pan.
When there is a thin layer of water remaining in the rice, add the cheese cut in pieces, and stir until it's melted.
Serve immediatly, and decorate with the grilledchorizo and some pieces of cheese.
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