The board may enter into an agreement with the corresponding licensing authority of any other state competent to enter into such agreement which shall permit a nonresident person duly registered and licensed as a funeral director or embalmer in any state signing the agreement with the board to go into the other state for the purpose of handling, embalming, transporting, and burying dead human bodies and directing funerals as though he or she were licensed under the laws of New Hampshire, except that he or she shall not maintain an establishment, advertise, have any agent or agency, or otherwise hold himself or herself out as a funeral director or embalmer other than in his or her native state; provided that the agreement will set forth that the licensing authority of the state in which the funeral director or embalmer is licensed will assume the responsibility for instituting disciplinary action against any licensed funeral directors or embalmers who may be guilty of unprofessional conduct in the practice of their business in New Hampshire when such is reported by this board and the same to apply to New Hampshire individuals licensed under this chapter.