The possibility of generating crystallized ion beams has always excited the interest of most people working on particle accelerators. The reason of this interest has manifold aspects: either a knowledge on a completely new research field or some of the applicative potentialities, connected with crystallinebeams, would justify a careful investigation on this content. The Conceptual Design of a low-energy heavy-ion storagering, called CRYSTAL, proposed for the experimental demonstration of crystallinebeams at Legnaro Laboratories is presented. Besides the study of crystallinebeams the CRYSTAL StorageRing (CSR) offers a large potential for fundamental research in nuclear, atomic and molecular physics. In this sense, the development of a second generation cooler ring with better lattice will give large possibilities to investigate more deeply in fundamental Physics.