You can call and ask them to link your continuing reservation. Use this terminology. You can also ask them to notate on the reservation with your own points that you will be staying under a separate reservation number on your first night (whatever date it is) and would like to remain in the same room for the duration. They may only be able to notate this under the reservation with your own points - I believe the owner on the rented points would need to call in to have it noted on that reservation, if you wanted to add it there too.