Put 50ml of olive oil into a pan on a medium heat. Season the squid with salt and fry for around 1½ minutes on each side – you don’t want it to colour too much or to get a crust, as this will make it tough and chewy.
Combine the remaining olive oil with the vinegar, chopped anchovies, capers, tomatoes and just a little bit of salt (as the anchovies and capers are already salty) and mix with the puntarelle.
Put the salad on a plate, top with the squid, and finish with a drizzle of ajillo and chilli oil.