  Let S be a split family of del Pezzo surfaces over a discrete valuation ring
such that the general fiber is smooth and the special fiber has
ADE-singularities. Let G be the reductive group given by the root system of
these singularities. We construct a G-torsor over S whose restriction to the
generic fiber is the extension of structure group of the universal torsor. This
extends a construction of Friedman and Morgan for individual singular del Pezzo
surfaces. In case of very good residue characteristic, this torsor is unique
and infinitesimally rigid.
