The four LEP collaborations have performed searches for supersymmetric particles in light gravitino scenarios, when neutralinos and sleptons are produced and may present measurable decay lengths. The highest energy data has been analysed including centre-of-mass energies up to 209 GeV. No evidence for such particles is found, but preliminary limits from the combination allow to exclude at 95% confidence level neutralino masses up to 97 GeV if neutralinos decay promptly and stau masses up to 86.9 GeV for all stau lifetimes. The interpretation of these results in general models is studied to set limits on the parameters of the theory
