R.I. Gen. Laws § 12-7-19: Arrest after close pursuit by officers from cities or towns.

Any member of a duly organized municipal peace unit of another city or town of the state who enters any city or town in close pursuit and continues within any city or town in such close pursuit of a person in order to stop him or her for a suspected violation of any provision of the motor vehicle code committed in the other city or town, shall be vested with all of the same authority as a member of a duly organized municipal peace unit of the city or town.