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Let $Y_{1},\dots,Y_{l}$ be smooth irreducible projective curves and let $Y$be its disjoint union. Given a semisimple reductive algebraic group $G$ and afaithful representation $\rho:G\hookrightarrow \textrm{SL}(V)$ we construct aprojective moduli space of $(\underline{\kappa},\delta)$-(semi)stable singularprincipal $G$-bundles with generalized parabolic structure of type$\underline{e}$. In case $Y$ is the normalization of a connected and reducibleprojective nodal curve $X$, there is a closed subscheme coarsely representingthe subfunctor corresponding to descending bundles. We prove that the descentoperation induces a birational, surjective and proper morphism onto theschematic closure of the space of $\delta$-stable singular principal$G$-bundles whose associated torsion free sheaf is of local type$\underline{e}$.

Generalized parabolic structures over smooth curves with many components and principal bundles over reducible nodal curves