PART IV—ARREST AND SURRENDER OF PERSONS TO ICC
Restrictions on Surrender
57. If a request for surrender of a person is received from the ICC and one or more States also request the extradition of the person for the same conduct that forms the basis of the crime for which the ICC seeks the person's surrender, the Minister—
(b) shall determine, in accordance with section 58 or section 59, but without regard to any provision of
the Extradition (Commonwealth Countries) Act
or the Extradition (Contiguous and Foreign Countries) Act, whether the person is to be surrendered to the ICC or to the requesting State.
Notification of competing request
Competing request - same conduct - State party - case admissible
Competing request - same conduct - State party - pending admissibility decision
EDIT.