Preheat the oven to 400°F (200°C).
Wash the Campari tomatoes, leaving them on the vine if present, and arrange them in a baking dish.
Drizzle the tomatoes with extra virgin olive oil, season with salt and a pinch of sugar, then roast in the preheated oven for 10 minutes.
While the tomatoes roast, bring a large pot of salted water to a boil and cook the egg fettuccine until al dente according to package instructions.
Reserve a small cup of pasta cooking water, then drain the fettuccine.
Cut the burrata into small pieces and set aside.
Heat a drizzle of olive oil in a large skillet over medium heat. Add half of the roasted tomatoes and any juices from the baking dish and warm for 1–2 minutes.
Add the drained fettuccine to the skillet and toss or sauté for about 1 minute to coat; add a splash of reserved pasta water if needed to loosen the sauce.
Serve the pasta topped with the remaining roasted tomatoes, pieces of burrata, and oregano leaves.