2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217504We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that such systems admit a separation of variables in parametric families of coordinate systems.13 pages, LaTex file. Published in proceedings of workshop on Superintegrability in Classical and Quantum Systems, 16-21 Sept., 2002, CRM, Universite de Montreal, Montreal (Quebec)Exactly Solvable and Integrable SystemsHigh Energy Physics - TheoryMathematical Physicstext