A new and distinct Echeveria agavoides cultivar named ‘AMIECH1618’ which is characterized by thick, succulent foliage with an upwardly curved attitude, and foliage that is tightly arranged in a compact rosette, particularly at the center of the rosette. The broad ovate to near oblong foliage is lightly pruinose with a greyed-green general coloration, leaf margins which are lightly suffused with red-purple, a prominent red coloration of the leaf apex, and the stability of these characteristics from generation to generation.