Measuring social capital has been a challenging task over the past few decades, and, still, many of its dimensions and manifestations have not been thoroughly or evidently explored. The possible causes may be the ever-changing evolutionary perspectives that take place within the various levels of analysis—micro, meso, and macro—or within the various settings, where some of its core dimensions—bonding, bridging, and linking—are developed, or even among the contexts where its core determinants and features—trust, norms, connections, ties, etc.—are observed. Having in mind the various streams of research and theoretical discourses on social capital formation, this paper aims to surface the identification of the possible evidence on the formation of social capital among social economy organizations, and particularly among social enterprises. In doing so, it aims to explore the relational and cognitive features that drive social enterprises in their interorganizational cooperation with other social enterprises and third-sector organizations. The findings suggest that the central components of social capital, such as the sharing of common values, trust, reciprocity, and trustworthiness, are among those features that were valued most among the participants in the survey during their cooperation and engagement in common activities with other organizations.