MOSAIC (MOisture Simulation and Assessment In Civil engineering) is an Initial Training Network (ITN) program to train future scientists in the field of sustainable construction materials. The MOSAIC proposal was already submitted in the ITN (ETN) Marie Sklodowska Curie Action call, the last evaluation score 87.4%. The MRSEI grant will give us means to make major changes for challenging the 2020’s ITN call. The project MOSAIC focuses on various materials, procedures and applications in the field of sustainable construction. An original, multidisciplinary and complementary approach addresses the presence of moisture, its evaluation and the role it plays in damage. Structures made of wood, concrete or brick and stone masonry will all be considered. Issues linked to determining and measuring moisture, its distribution within the structure and its evolution over time will be addressed So far the project was relying on an existing Technical Committee from RILEM (a scientific and technical international association that develops knowledge on materials properties and structural performance). The network is supported by academic and non academic partner organizations, who come from different socioeconomic backgrounds (owners, research and technical centers, industries and SME on materials, diagnosis and consulting), and who are working on the issue of heritage conservation and, building sustainability. According to the previous evaluation of the project, we need to organize the partnership differently while refocusing the project. The MRSEI will help us to reach this objective. The objective of the ITN is to train 15 doctoral students with a 360-degree perspective. By virtue of the partnership trans-disciplinary culture, they will be able to push back the present borders between different materials and techniques. The project is structured around scientific work packages aiming to achieve progress on development of new techniques and methodologies for moisture assessment; improvement of interpretation for evaluation of moisture; standardization of practice applications linked to moisture assessment. The establishment of a data exchange platform to support future scientific progress is also planned. Since an ITN aims as the training of future scientists a work package will be entirely devoted to this task structuring schools, and secondment to allow doctoral students to grow up to an original and attractive employment profile, capable of working in an international landscape. A last work package will deploy modern, original resources in order to communicate disseminate the advances and findings to all echelons of society. The project proposed for this MRSEI call is to favor physical meetings allowing brainstorming and more common writing, as well as to accede to external helps from experts. The initial project will be rebuilt by identifying the roles and involvement needed (based on a partnership already partly identified), as well as the structure of our project.