Boil the water for the gnocchi with plenty of salt. Use plenty of water, as you will need some for making the sauce.
Throw the gnocchi to cook. They should be ready in 3-5 minutes.
Take two ladles of pasta water and set it aside.
Drain the gnocchi and put them back in the same pot.
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Mix well.
In a small bowl, add the grated pecorino cheese and 4 tablespoons pasta water. Mix, ad add more water if you think it needs it, always one tablespoon at a time. You want a creamy consistency but not too watery.
Add that cream of pecorino cheese you just made back into the pot with the pasta and Arrabbiata sauce.
Mix well over medium heat for 2 to 3 minutes.
Take off the heat and serve your Red cacio e pepe gnocchi with chilli.
You can drizzle more EVOO, sprinkle extra pecorino on top, and finish with some chopped fresh parsley.