Heat the oil in a frying pan and fry the chorizo over a medium heat. Turn regularly until stating to crips up (approx 10min).
Put the eggs in a pan of hand-hot water cover and bring quickly to the boil. Boil for 4 minutes (or 5 min for extra large eggs). When cooked, run them under cool tap water and peel them straight away.
Cook the brocoli in a large saucepan or boiling salted water for 3 to 4 minutes, until just tender. Drain well.
Add the warm brocoli to the chorizo pan and toss it in the host, spicy fat until well coated.
Divide the brocoli and chorizo between 4 plates and add a boiled egg, cut in half, to each.
Season with salt and pepper and serve straight way with some bread.