PART IV
ARREST AND SURRENDER OF PERSON TO ICC
Restrictions on Surrender
63.
(4) If section 61 applies, the requesting State is not a party to the Statute, and Trinidad and Tobago is under an international obligation to extradite the person to the requesting State, the Attorney General shall determine whether to surrender the person to the ICC or extradite the person to the requesting State.
(5) In making the determination under subsec¬tion (4), the Attorney General shall consider all the relevant factors including, without limitation—
(a) the respective dates of the requests;
(b) the interests of the requesting State, including, if relevant, whether the crime was committed in its territory and the nationality of the victims and of the person sought; and
(c) the possibility of subsequent surrender between the ICC and the requesting State.
Competing request - same conduct - State not Party - international obligation
EDIT.