Part 2 Surrender of Persons
ยง 4 Requests for Surrender and Requests for Extradition
(relating to Article 90 of the Rome Statute)
(6) In cases under Article 90 para. 6 and 7 (b) of the Rome Statute, the request of the Court will be given priority to the extent that, when considering all of the criteria in these provisions, the reasons in favor of approving the extradition request are not clearly predominant.
Competing request - same conduct - State not Party - no international obligation - case admissible
Competing request - different conduct
Competing request - different conduct - international obligation to extradite
EDIT.