Pat the steak dry with paper towels. Rub with 1 tbsp olive oil, then season generously on both sides with salt, pepper, minced garlic, and dried Italian herbs. Let it sit at room temperature while you prepare the pasta ingredients.
Bring a large pot of salted water to a boil. Cook the pasta according to package instructions for al dente. Reserve 1 cup of pasta water before draining.
Heat a grill pan, cast-iron skillet, or outdoor grill over high heat. Add the remaining 1 tbsp olive oil. Cook the steak for 4-5 minutes per side for medium-rare, or until desired doneness. Transfer to a cutting board, tent loosely with foil, and let rest for at least 5 minutes.
While the steak rests, melt butter in a large skillet over medium heat. Add minced garlic and cook for 1 minute until fragrant. Pour in the heavy cream and bring to a gentle simmer. Reduce heat to low and whisk in the grated Parmesan until smooth and creamy. Season with nutmeg (if using), salt, and pepper.
Add the drained pasta to the cream sauce. Toss to coat, adding reserved pasta water a little at a time until the sauce reaches a silky, clinging consistency.
Slice the rested steak against the grain into thin strips. Divide the creamy pasta among plates. Top with sliced steak. Garnish generously with chopped parsley, chives, and extra Parmesan. Serve immediately.