  Studying degenerations of moduli spaces of semistable principal bundles on
smooth curves leads to the problem of constructing and studying moduli spaces
on singular curves. In this note, we will see that the moduli spaces of
$\delta$-semistable pseudo bundles on a nodal curve constructed by the first
author become, for large values of $\delta$, the moduli spaces for semistable
singular principal bundles. The latter are reasonable candidates for
degenerations and a potential basis of further developments as on irreducible
nodal curves. In particular, we find a notion of semistability for principal
bundles on reducible nodal curves. The understanding of the asymptotic behavior
of $\delta$-semistability rests on a lemma from geometric invariant theory. The
results will allow the construction of a universal moduli space of semistable
singular principal bundles relative to the moduli space $\overline{\mathcal
M}_g$ of stable curves of genus $g$.
