Pat the 500g of beef chuck pieces completely dry on all surfaces with paper towels — the drying step is the prerequisite for any meaningful browning. Any surface moisture on the beef converts to steam the moment it contacts the hot pan, dropping the temperature and preventing the Maillard reaction from occurring. Season generously with 5g of the salt and the full 3g of black pepper, pressing the seasoning into every surface. Set a large Dutch oven or heavy-bottomed pot over medium-high heat and add the diced pancetta — no oil is needed at this stage because the pancetta renders sufficient fat for both the pancetta browning and the subsequent beef searing. Cook the pancetta for 6–8 minutes, stirring occasionally, until deeply golden and crispy. The pancetta fat is the primary cooking medium for the beef sear — its cured pork fat carries savoury depth that plain olive oil cannot contribute. Remove the crispy pancetta with a slotted spoon and set aside on a plate, leaving all the rendered fat in the pot. Working in two batches — never adding all the beef at once, which would crowd the pot, drop the temperature, and produce grey steamed beef rather than the deep brown crust the flavour development requires — add the first batch of beef pieces in a single layer. Sear undisturbed for 3–4 minutes per side, working around the beef to develop a deep, dark, genuinely caramelised crust on every surface. The crust should be dark brown, not golden — this is the colour of properly developed Maillard reaction compounds, not the pale tan of an under-browned surface. Each side requires undisturbed contact with the hot pot surface — any movement before the crust has formed tears the developing crust rather than allowing it to build. This browning step produces both the deep savoury flavour of the finished ragù and the fond — the layer of caramelised protein and fat adhering to the pot surface — that will dissolve into the sauce during the deglaze step and contribute a depth that no amount of additional seasoning can replicate. Transfer the first batch to a plate and repeat with the second batch.

Reduce the heat to medium and add the 25ml of olive oil to the rendered pancetta fat remaining in the pot. Add the finely chopped yellow onion, carrot, and celery simultaneously — the classic Italian soffritto. The ratio of these three aromatics — 150g onion, 100g carrot, 80g celery — is the standard foundation of northern Italian braised meat preparations, calibrated to produce a specific sweet, mellow, aromatic base rather than the sharper, more onion-forward character of different proportions. Cook for 12–15 minutes, stirring frequently — the soffritto requires the kind of unhurried, attentive cooking that the name suggests. The vegetables must be very soft and showing the first signs of caramelisation — not raw and watery, not browned and dark, but somewhere in between: completely softened, slightly shrunken, and beginning to deepen in colour to a light golden. During this 12–15 minutes, use a wooden spoon or spatula to scrape the bottom of the pot periodically, lifting and dissolving the fond left from the beef sear into the softening vegetables. This fond integration happens gradually throughout the soffritto stage rather than all at once during a deglaze, producing a deeper, more evenly flavoured base than fond left entirely for the wine deglaze. Add the minced garlic and cook for 30 seconds. Add the 30g of tomato paste and stir it into the soffritto, pressing and spreading it against the hot pot surface. Cook for 2–3 minutes, stirring constantly, until the paste darkens noticeably from its original bright red to a brick-red, slightly caramelised colour. This Maillard reaction in the tomato paste — possible only because the paste is in direct contact with the hot pan surface rather than diluted in liquid — concentrates its sweetness, reduces its raw acidic edge, and develops the deep, complex tomato depth that makes a ragù sauce different from a simple tomato sauce.

Increase the heat to medium-high and pour in the 150ml of dry red wine. Chianti is the preferred choice — its specific combination of tannins, acidity, and dark fruit character is calibrated to both the fatty richness of the beef chuck and the sweetness of the soffritto. Scrape the bottom of the pot vigorously as the wine heats and bubbles — any remaining fond should dissolve within the first 60 seconds of vigorous bubbling. Allow the wine to reduce for 4–5 minutes until it has reduced by approximately half and has a slightly syrupy consistency — the sharp, alcoholic edge should be completely gone and the wine should smell of concentrated fruit and complexity rather than raw spirit. Crush the whole San Marzano tomatoes by hand directly over the pot — squeeze each tomato until it opens and breaks apart, releasing its juice and soft flesh into the sauce. Add all the tomato juices from the can. Add the 300ml of beef stock, the rosemary sprig, and the 2 bay leaves. Add the 2g of sugar — calibrated for the San Marzano tomatoes' natural sweetness level and designed to bring the sauce's acidity into balance rather than making it taste sweet. Return all the browned beef pieces with every drop of their accumulated resting juices to the pot. Return the crispy pancetta. The pot should now hold everything in a relatively loose braising liquid — the beef pieces partially submerged, the tomato and stock providing the braising medium. Bring to a gentle boil, then reduce the heat immediately to the lowest possible setting.

This step requires patience and periodic attention but not active effort. Partially cover the pot — leave the lid slightly ajar rather than fully sealed, allowing some steam to escape so the sauce reduces gradually during the simmer rather than remaining at the same volume. The heat must be at its absolute lowest — the correct simmer is the gentlest possible movement at the surface, a few occasional bubbles rather than a continuous, rolling simmer. A vigorous simmer boils the meat rather than braises it: boiling agitates the protein fibres and produces tough, dry, stringy beef despite the long cooking time. A gentle simmer conducts heat slowly and evenly through the collagen-rich chuck, progressively converting the collagen to gelatin — the substance that gives well-made ragù its characteristic richness, body, and the way it coats pasta with a specific silky weight. If the liquid bubbles too actively at any point, reduce the heat further or move the pot partially off the burner. Stir every 30 minutes — gently, lifting from the bottom to prevent the sauce from catching on the pot surface. Check the liquid level each time: the sauce should remain moist and saucy throughout the simmer. If it has reduced too aggressively and the beef is beginning to appear above the liquid line significantly, add a small amount of beef stock or water to maintain the correct braising environment. After 2.5 hours the beef should be completely tender — a fork inserted into a piece should meet no resistance, and the pieces should shred easily when pressed. Remove the rosemary sprig and bay leaves. Using two forks, shred the beef directly in the pot — not into fine strands but into rough, irregular smaller pieces that remain chunky enough to provide textural presence in the finished dish. The shredding also releases the beef's gelatinised collagen back into the sauce, enriching the liquid further.

Add the 30ml of whole milk to the shredded ragù and stir to incorporate. The milk addition is specifically traditional in Bolognese-style ragù — its fat and protein content rounds the acidity of the wine and tomatoes, produces a slightly more velvety, less sharp sauce character, and adds a subtle richness without dairy heaviness. The quantity is deliberately small — 30ml enriches and balances without making the sauce taste of milk. Allow the ragù to simmer for 5 additional minutes after adding the milk, gently, to allow it to fully incorporate. Taste and adjust with the remaining 3g of salt if needed. The ragù should taste deep, savoury, and complex with a balance of richness, acidity, and mellow sweetness.

While the ragù finishes, bring a large pot of salted water to a full rolling boil and cook the 320g of rigatoni according to the package directions until al dente. Rigatoni is the correct pasta format for this ragù — its ridged exterior and hollow centre both capture the chunky, shredded meat sauce, ensuring every piece carries a generous amount of ragù. Reserve 240ml of pasta water before draining. Add the drained rigatoni directly to the ragù pot and toss over medium heat for 2–3 minutes, turning the pasta through the sauce continuously. Add pasta water in splashes if needed to maintain the correct flowing, coating consistency — as the pasta absorbs the sauce during tossing, the water maintains the sauce's ability to coat rather than becoming dry. Each rigatoni tube should be coated inside and out, with pieces of shredded beef visible throughout.

Divide among four warm bowls. Scatter the 40g of finely grated Parmigiano-Reggiano generously over each bowl. Tear fresh basil leaves over the surface — the basil's aromatic freshness provides a clean counterpoint to the deeply savoury ragù. Serve immediately with additional Parmigiano at the table.