There is no "night rating" under the FAA system. All FAA private pilots candidates must have 3 hours night dual instruction unless they apply under the Alaska exemption. If you apply for a FAA certificate under 61.75 you must comply with the restrictions of your foreign license. If it allows night flying, you are good to go. If it doesn't you can't. If your foreign license is one of those that lists every aircraft you are authorized to fly by make and model down to light single engine airplanes then those are the only types of light single engine airplanes you can fly with your 61.75 cert.
The FAA does provide this interesting guidance:
"Night Restriction. Some foreign pilot licenses contain a restriction that prohibits the person from operating an aircraft at night. As an example, some foreign CAAs require their citizens to hold an instrument rating and/or a night flying privilege to operate an aircraft at night. That person must also comply with that night operating restriction of his or her foreign pilot license when exercising the privileges of the § 61.75 U.S. pilot certificate (refer to § 61.75(e)(3)). To clarify, while the FAA may not remove the night flying restriction, it is permissible for a foreign pilot who receives a U.S. pilot certificate on the basis of the person’s foreign pilot license to accomplish the required night flying training (for the appropriate grade level of U.S. pilot certificate held) from a holder of an FAA flight instructor certificate, and receive a solo endorsement to exercise night flying privileges on his or her U.S. pilot certificate."