PART 4 - ARREST AND SURRENDER OF PERSON TO ICC
Restrictions on surrender
64.
Request from ICC and other State relating to different conduct—
(3)If New Zealand is under an existing international obligation to extradite the person to the requesting State, the Minister must determine whether to surrender the person to the ICC or to extradite the person to the requesting State.
(4)In making the determination under subsection (3), the Minister must consider all the relevant factors, including, without limitation, those matters specified in section 63 of this Act and section 99 of the Extradition Act 1999, but must give special consideration to the relative seriousness of the offences for which surrender is sought.
Cf Statute, article 90(7)
Competing request - different conduct - international obligation to extradite
EDIT.