The promotion of a European public sphere is critical for the cultivation of democratic discourse and opinion formation. In this context, discourse analysis offers profound insights into transnational media discourses, supported by multilingual and comparative perspectives. Recent advancements in discourse analysis leverage machine learning and corpus analysis, expanding the scope for cross-border linguistic research. However, the full potential of Open Research Data (ORD) for comparative, multilingual discourse analysis remains underutilised. The MORCDA project seeks to bridge gaps between comparative discourse researchers and open research data communities, facilitating the adoption of ORD practices and optimising research infrastructures (RIs) for enhanced comparative analysis across European languages and contexts.