1. POA and Gift deed are two different subjects, and cannot co-exist, thus invalid in law.
2. For execution of registered deed either gift or release, the beneficiary has to be available to accept the same before the concerned registrar's office or at least represented by a POA holder on behalf of the beneficiary/donee.
Though the law do not mandate it.
3. If both are residing in a foreign country, both can appoint POA agent one from each side to execute the task on each other's behalf, the deed need not be drafted in that foreign country however the POA deeds should be executed in that country with attestation by a notary public of that country or by an official of Indian embassy or high commission.
4. Dont do such mistakes which may become a grave mistake and this may have to be rectified with great difficulty at a later stage.
5. You follow the procedures of getting the gift or release deed executed in India through two power of attorney agents one for each i.e., the donor and the donee, the other formalities may be complied as per local laws and will be taken care of by your attorneys.