Heat a large dutch oven over medium heat. Add olive oil, celery, carrots, onion, salt, and pepper. Cook vegetables on medium-low heat for 15 minutes, stirring frequently.
Add pancetta to the pot. Cook with the vegetables for 10 minutes.
Add the pork, beef, and wine to the pot. Stir very well, breaking up all of the meat. Simmer over medium-low heat for 30 minutes.
Add chicken stock and tomato paste. Simmer for 20 minutes, until reduced.
Remove sauce from heat and stir in butter, milk, and parmesan.
Cook spaghetti until al dente. Drain and toss spaghetti with bolognese sauce. Serve with more parmesan cheese.
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