Furthermore, in order to reflect accurately the obligations Member States have under international law to conduct search and rescue operations and to provide a more accurate picture of the composition of migratory flows in the Union, it is also necessary to record in Eurodac the fact that the third-country nationals or stateless persons were disembarked following search and rescue operations, including for statistical purposes. Without prejudice to the application of , the recording of that fact should not result in any difference of treatment of persons registered in Eurodac upon apprehension in connection with the irregular crossing of an external border. That should be without prejudice to the rules under Union law applicable to third-country nationals or stateless persons disembarked following search and rescue operations.