An Act to facilitate compliance by Australia with obligations under the Rome Statute of the International Criminal Court, and for related purposes
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
If Australia is not under an international obligation to extradite the person to the foreign country, priority must be given to the request from the ICC.
Competing request - different conduct - no obligation to extradite
EDIT.