  By using different continuation methods, we unveil a wide region in the
parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation,
where several families of stable vortex solitons coexist. All these stationary
solutions have a symmetric amplitude profile and two different topological
charges. We also discover the dynamical formation of a variety of 'bound-state'
solutions, composed of two or more of these vortex solitons. All of these
stable composite structures persist in the conservative cubic limit, for high
values of their power content.
