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After winning the skydiving championship in Spain, Fathom Harvill is abducted by a man named Timothy and taken to Douglas Campbell, a Scotsman who claims to be working for NATO intelligence. He enlists her aid in outwitting two teams of foreign agents who are after the "Fire Dragon," a nuclear trigger device that was lost in the Mediterranean following the crash of a bomber plane. Representing Communist China is Serapkin, an eccentric Armenian millionaire. Peter Merriweather is acting for the United States, aided by a glamorous Asian, Jo-May Soon. Fathom parachutes into Merriweather's villa and learns that the "Fire Dragon" is a priceless jeweled figurine stolen from a Peking museum by a Korean War deserter who is being pursued by a private detective. Although she now realizes that Merriweather and Campbell are the deserter and the private eye, she cannot determine which is which. Following an encounter with a bull in an empty arena, a harpoon attack from a hotel owner, and two knife attacks by Serapkin, Fathom discovers the "Fire Dragon" hidden in her makeup case. She decides that Campbell is the real detective and leaves with him and Timothy in their plane. Once in the air, however, the two men grab the figurine and try to force Fathom out of the plane. Merriweather arrives in his own plane and shoots Campbell as Timothy falls out of the hatchway. Using the plane's radio, Fathom makes a dinner date with Merriweather and then tosses the "Fire Dragon" out of a window; Jo-May, the only honest person involved, retrieves it.