A new and distinct Echeveria pulidonis cultivar named ‘AMIECH1602’ which is characterized by a flattened globular plant shape with thick succulent foliage tightly arranged in a compact rosette, broad obovate to broad oblanceolate foliage with an obtusely cuspidate apex, foliage which is upwardly curled, foliage which is moderately pruinose with a blue-grey general coloration and pink margins, as well as the stability of these characteristics from generation to generation.