In this paper, a framework for foam printing with a Cable-Driven Parallel Robot (CDPR) is described for building large parts. Compared with the traditional robotic systems, CD-PRs have a large workspace that can include the printing area. In addition, the potential reconfigurability of CDPRs is an asset to get rid of the collisions between the cables and the environment during the execution of the printing task. The printing feasibility is verified through the process identification where key parameters are used in the proposed control law. The features to be taken into account through a framework to make a successful printing with a CDPR are described. Finally, advantages and drawbacks of CDPRs for additive manufacturing are discussed and future work is presented.