An internal combustion engine includes a cylinder block defining a cylinder, a cylinder head, and an exhaust manifold operatively connected to the cylinder head and configured to exhaust post-combustion gasses from the cylinder. The engine also includes a turbocharging system configured to pressurize an airflow for delivery thereof to the cylinder. The turbocharging system includes a low-flow turbocharger having a first turbine housing and a high-flow turbocharger having a second turbine housing. Each turbocharger is configured to be driven by the post-combustion gasses from the exhaust manifold in order to pressurize the airflow and discharge the pressurized airflow to the cylinder. The turbocharging system also includes a flow control device for selectively directing the post-combustion gasses to the low-flow and high-flow turbochargers. The turbocharging system additionally includes a cooling module configured to cool the second turbine housing. A vehicle employing such an engine is also disclosed.