The field of digital social innovation (DSI) seeks to address societal challenges, including fighting poverty and inequality, strengthening justice, human rights, and gender equality, and addressing environmental issues affecting the planet and climate by leveraging digital technologies. In this article, we present a multilevel design framework for DSI. It originates from a reflection resulting from the learnings of an action design research project that aimed to develop a digital donation system for homeless neighbors. The framework draws upon the research stemming from DSI, value sensitive design, and service science spheres. It allows value-sensitive interaction in DSI projects to be captured, structured, and reflected from their overarching purposes to detailed design decisions and individual actions. We demonstrate the application of the presented framework by analyzing episodes of value election and inscription of the digital donation project.