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
34 Ongoing Australian investigation or prosecution involving different conduct
(2) The Attorney-General may, after consultation with the ICC:
proceed with the execution of the request despite the Australian investigation or prosecution; or
postpone the execution of the request until the Australian investigation or prosecution has been finally disposed of.
Person sought for different crime - consultations with the Court
EDIT.