  Elastic eta-d scattering is considered within the Alt-Grassberger-Sandhas
(AGS) formalism for various eta-N input data. A three-body resonant state is
found close to the eta-d threshold. This resonance is sustained for different
choices of the two-body eta-N scattering length a_{\eta N}. The position of the
resonance moves towards the eta-d threshold when Re a_{\eta N} is increased,
and turns into a quasi-bound state at Re a_{\eta N}=0.733 fm.
