Heat a large skillet over moderate heat. Add the EVOO, butter, garlic and shallots. Gently sautéthe shallots for 3-5 minutes to develop their sweetness. Add the vodka to the pan – three turns around the pan in a steady stream will equal about 1 cup. Reduce the vodka by half, about 2 or 3 minutes. Add the chicken stock and the tomatoes. Bring the sauce to a bubble and reduce the heat to a simmer. Season with salt and pepper.
While the sauce simmers, cook the pasta in salted boiling water until it’s cooked to al dente (with a bite to it). While the pasta cooks, prepare your salad or other side dishes.
Stir the cream into the sauce. When the sauce returns to a bubble, remove it from the heat. Drain the pasta. Toss the hot pasta with the sauce and the basil leaves. Pass the pasta with crusty bread.