Research Infrastructures (RI) are facilities that offer resources and services for research communities to conduct research and promote innovation. RI can be a single site or distributed and include major scientific equipment, collections, archives or scientific data, computing systems and communication networks. Interoperability is an important aspect of Open Science (OS). It refers to the ability of different systems and organizations to work together and exchange information seamlessly. Interoperability involves establishing common standards, formats, and protocols that enable different systems or components to communicate with each other and exchange the data without loss or distortion of information. Data interoperability addresses challenges related to data compatibility, structure, semantics, and technical integration. It involves defining and adhering to shared data models, schema, and metadata standards, as well as utilizing common communication protocols and interfaces. In the context of OS, interoperability allows for the integration and interconnection of research infrastructures, reducing the fragmentation of the research and innovation ecosystem and avoiding the duplication of effort. Achieving interoperability across resources and services within RIs can present several challenges. Most of the interoperability challenges can be divided into two blocks, namely technical and social challenges. In conclusion, RIs are crucial for promoting scientific research and driving innovation in various fields. To maximize their impact, achieving interoperability is a key challenge that needs to be addressed. Centralized hubs of standards, such as common vocabularies and data formats, can facilitate communication and collaboration among research infrastructures. Improved communication and coordination among research infrastructures can also help prevent the duplication of effort and increase efficiency. These initiatives are essential for accelerating scientific progress, bridging gaps, and improving the usability of RIs.