Climate change, through consequences such as global warming, rising sea levels, prolonged dry seasons or floods and severe storms, threatens our built heritage and affects our cultural landscapes. Acid rain and environmental pollution are corroding and altering monuments and historic buildings. Accelerating soil erosion threatens buried archaeological heritage, while rising sea levels threaten to cover entire cities under water. The solutions provided by research to date are not exhaustive and cannot always anticipate the worsening or newly emerging impacts of ongoing climate change. Therefore, there is an urgent need to explore and test innovative ways to protect monuments, historic buildings and sites from the impacts of climate change and natural hazards. To explore innovative and sustainable ways to protect monuments, historic buildings, archaeological sites and cultural landscapes from the impacts of climate change, natural hazards and environmental pollution, the environmental footprint as well as the comfort of users are considered. Particular attention is paid to coastal and marine areas and underwater heritage, addressing, in particular, the need for research on the phenomena of wetting and repulsion. The Triquetra consortium, consisting of 21 partners, is applying its methods to several archaeological sites in Europe, and to three important sites in Greece. Ancient Epidaurus, Kalapodi in Phocis and Aegina Kolona have been selected for the study and application of scientific research conclusions. In this paper, the objectives and methodology of the project in ancient Epidaurus will be presented.