PART IV—ARREST AND SURRENDER OF PERSONS TO ICC
Restrictions on Surrender
60. (1) If a request for surrender of a person is to received from the ICC and a request for the extradition of that person is received from one or more States for conduct other than that which constitutes the crime for which the ICC seeks the person's surrender, the Minister shall determine whether the person is to be surrendered to the ICC or to the requesting State.
Competing request - different conduct
EDIT.