Boil the sweet potatoes until soft and then peel and smash them until they’re fine. This ikea tool comes in very handy here.
Add the salt, Parmegiano, and flour. Mix everything with your hands until they come together in a dough.
Portion it into 4 pieces and roll each one with your hand into a thin log with some flour if needed. Cut them into 2 cm pieces and dust with a bit of flour. Set aside while you make the sauce.
Slice the garlic thinly. Then in a large pan, heat 2 tbsp of olive oil and cook the garlic and chili flakes for 2 minutes then add the cherry tomatoes. While they cook, boil the gnocchi in a pot of hot water. Do this in 2 batches so you don’t overcrowd them pot. They cook very quickly, as soon as they float, scoop them out with a sieve and add them to the other pan. Add half a cup of the gnocchi water and mix well, adding salt and pepper to taste. The pepper really shines here, especially if it’s freshly cracked.
Move the pan off the heat, add the burrata, the remaining tbsp of olive oil, and some basil leaves. Enjoy!