Authorities said a team from Chile's civil aviation agency searched the airliner and found no explosives.
A police official, Alfred Chiang, said Sunday that investigators arrested a woman who had dropped off a passenger at the terminal. He said police were still trying to determine a motive for the call, which was made minutes before the airliner was to take off.
The civil aviation agency said 312 people were removed from the plane after the police communication center received the threat.
Officials said passengers were taken to a nearby hotel and would be put on a new flight to Madrid on Monday.