Part 3—Requests by the ICC for arrest and surrender of persons
Division 4—Surrender of persons
40 Request from ICC and foreign country relating to different conduct
(3) If Australia is under an international obligation to extradite the person to the foreign country, the Attorney General must determine whether to surrender the person or to extradite the person to the foreign country.
Competing request - different conduct - international obligation to extradite
EDIT.