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
38 Procedure where competing request relating to same conduct from a foreign country that is a party to the Statute
(3) If the ICC has not made a determination referred to in subsection (2), then, pending the making of such a determination:
the steps required to be taken under the Extradition Act 1988 in relation to a request for extradition may continue to be taken; but
no person may be extradited under that Act pursuant to the request unless and until the ICC makes its determination on admissibility and determines that the case is inadmissible.
(4) Paragraph (3)(b) does not apply if the ICC does not make its determination on an expedited basis.
Competing request - same conduct - State party - pending admissibility decision
EDIT.