The London-bound Boeing 787 struck a medical college hostel in a residential area of the northwestern city of Ahmedabad minutes after takeoff Thursday.
Iran's top military official, Mohammad Hossein Bagheri and Hossein Salami, the commander of the Revolutionary Guard Corps, were killed, according to state media.
In an executive order, the president said conditions for resolving the national security concerns would be laid out in an agreement, without providing details.
Antonio Espaillat and his sister Maribel Espaillat have not been charged in the case, although authorities have 48 hours to present any charges before a judge.
All but one of the 242 people on board the London-bound flight were killed when the plane crashed into the dormitory of a nearby medical school. It was not clear how many people on the ground were also killed.
Air India, the country’s flagship carrier, said Flight 171 from Ahmedabad to London Gatwick had been “involved in an incident.” Some 242 people were on board.