  The presence of high reheating temperatures in the thermal history of the
universe challenges supersymmetric scenarios owing to the gravitino problem. We
revise a general R-parity conserving gravitino dark matter scenario with a stau
as the next-to-lightest superparticle being particularly constrained by
searches for heavy stable charged particles at the LHC. Imposing a variety of
experimental and theoretical constraints we show that points with T_R > 10^9
GeV survive only in a very particular corner of parameter space.
