In a large crock pot, scatter onions and garlic cloves in a layer. Pour in beef stock.
In a large skillet, heat sun-dried tomato oil to medium-high heat. Add chuck roast; sear until golden brown, 2-3 minutes per side. Transfer roast to the slow cooker.
Pour red wine into the hot skillet; use a wooden spoon to deglaze the pan, scraping the browned bits from the surface. Pour the wine mixture over the roast.
Scatter sundried tomatoes and roasted red pepper strips in the slow cooker. Sprinkle roast with oregano, thyme, salt and pepper. Pour the cream of mushroom soup over the roast. Cover; cook on low 7-8 hours or until the meat is fall-apart tender.
Shortly before the roast is done, bring a large pot of salted water to a boil; cook pappardelle pasta according to package directions or until al dente. Drain; set aside.
Transfer the roast to a cutting board; tent with foil. With a slotted spoon, transfer vegetables from the liquid to a small bowl. Whisk the liquid into a creamy gravy. Stir the vegetables back into the gravy.
Shred the pot roast. Place portions of cooked pasta on serving plates; place shredded pot roast on top. Ladle gravy and vegetables on top; sprinkle with grated Parmesan and fresh basil leaves. Serve immediately.