Given a discrete subgroup in a semisimple Lie group G, it is natural to ask on which homogeneous spaces this subgroup acts properly discontinuous and with compact quotient. In this talk I will discuss a large class of examples of such subgroups and explain a construction of open subsets in G/P where P is a parabolic subgroup, on which these groups act properly discontinuous with compact quotient. The class of examples I am going to discuss includes subgroups arising from higher Teichmueller spaces, and finding geometric structures parametrized by higher Teichmueller spaces is an important motivation for this work. This is joint work with O. Guichard.