Boil Pasta: Bring a large pot of salted water to a rolling boil. Cook penne until al dente (1-2 minutes before package instructions). Reserve 1/2 cup of starchy pasta water, then drain pasta and set aside.
Sauté Aromatics: In a deep 12-inch skillet over medium heat, warm 2 tablespoons of reserved sun-dried tomato oil. Add diced shallots and sauté for 2 minutes until soft. Add minced garlic, julienned sun-dried tomatoes, dried oregano, and red pepper flakes; sauté for 1 minute until fragrant.
Simmer Blush Cream: Pour in heavy whipping cream and vegetable broth. Whisk gently and bring to a light simmer over medium-low heat for 2 to 3 minutes until slightly thickened and blush in color.
Melt Parmesan: Lower heat to low. Whisk in grated Parmesan cheese gradually until fully melted and silky smooth. Season with salt and black pepper to taste.
Toss & Wilt Spinach: Add drained penne and fresh baby spinach directly to the skillet. Toss gently with tongs for 1 to 2 minutes until spinach is wilted and pasta is thoroughly coated. Splash in 2 to 3 tablespoons of reserved pasta water if needed for extra gloss.
Garnish & Serve: Remove from heat. Scatter freshly torn basil and extra shaved Parmesan on top. Serve immediately in warm bowls!