Part IV – Arrest and Surrender of Person to ICC
Surrender and Delivery Orders
41. Competing requests.
(4) Where the requesting state is not a party to the Statute and Uganda is under an international obligation to extradite the person to the requesting state and the ICC has determined under article 18 or 19 of the Statute that the case is admissible, the Minister shall determine whether the person is to be surrendered to the ICC or extradited taking into consideration all the relevant factors referred to in article 90(6) of the Statute.
Competing request - same conduct - State not Party
Competing request - same conduct - State not Party - international obligation
EDIT.