We study the interaction of non-Abelian topological BF theories define
d on two-dimensional manifolds with point sources carrying non-Abelian
charges. We identify the most general solution for the held equations
on simply and multiply connected two-manifolds. Taking the particular
choice of the so-called extended Poincare group as the gauge group, w
e discuss how recent discussions of two-dimensional gravity models do
fit in this formalism.