Historic limestone monuments in the Mediterranean form a crucial part of our common cultural heritage. These have shaped our cities, provided landmarks and connected us to our parents, grandparents and very much beyond. This architecture symbolically represents fragile collective memories through their longstanding solid nature which makes their preservation immensely important, not only to the Mediterranean, but to the rest of the world to which we are connected. Visibly, cultural heritage projects in the Mediterranean and abroad, including architectural heritage projects, have been highly active and continue to be so, with much investment included. The interventions within these projects have developed in a necessarily empirical way over time. Heritage professionals including architects, historians, restorers, conservators, scientists and many others, each from their own school of thought, have brought with them best intentions to intervene on the heritage in question, using contemporary technologies and products available. This set-up has resulted in a somewhat trial and error approach. Indeed, this scenario makes the present time ripe to capitalize on the outcomes achieved thus far across borders and across research and practice and to build bridges between these Mediterranean neighbourhoods. This project will aim to achieve this through research and practice outcome integration and synchronization between the partner countries to produce a comprehensive way forward for the continued sustainability of historic limestone monuments in the Mediterranean.