In order to build trust in re-use mechanisms, it may be necessary to attach stricter conditions for certain types of non-personal data that may be identified as highly sensitive in future specific Union legislative acts, with regard to the transfer to third countries, if such transfer could jeopardise Union public policy objectives, in line with international commitments. For example, in the health domain, certain datasets held by actors in the public health system, such as public hospitals, could be identified as highly sensitive health data. Other relevant sectors include transport, energy, environment and finance. In order to ensure harmonised practices across the Union, such types of highly sensitive non-personal public data should be defined by Union law, for example in the context of the European health data space or other sectoral law. Those conditions attached to the transfer of such data to third countries should be laid down in delegated acts. Conditions should be proportionate, non-discriminatory and necessary to protect legitimate Union public policy objectives identified, such as the protection of public health, safety, the environment, public morality, consumer protection, privacy and personal data protection. The conditions should correspond to the risks identified in relation to the sensitivity of such data, including in terms of the risk of the re-identification of individuals. Such conditions could include terms applicable for the transfer or technical arrangements, such as the requirement to use a secure processing environment, limitations with regard to the re-use of data in third countries or categories of persons entitled to transfer such data to third countries or to access the data in the third country. In exceptional cases such conditions could also include restrictions to the transfer of the data to third countries to protect the public interest.