It depends on where you are.
In the UK my FAA CPL gives me full PPL priveledges on any aeroplane, including IR and night (that I'm rated for on my FAA certificate). And if I fly here it counts for currency on my FAA certificates. I can not exercise CPL priveledges, though. I can even find FAA medical examiners, FAA flight instructors and FAA flight examiners here.