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The liveability of urban spaces is increasingly endangered by worsening climatic conditions. This is particularly alarming in hot and warm-temperate regions and in historical contexts due to the scarcity of vegetation, massive surfaces with low reflectivity materials and limited shading structures. To enhance climate adaptation in protected environments, one of the most effective strategies is to limit the impact of direct solar radiation through shading. The proposed paper documents a parametric design workflow that includes simulations and climatic morphogenesis using algorithmic software, prototyping with CNC machines based on digital fabrication technologies. This workflow is researched and experimented within a university course aimed at designing temporary and lightweight structures to enhance the thermal comfort of visitors in a historical cloister in Parma, Italy.