  In supersymmetric models where the gravitino is the lightest superparticle,
the next-to-lightest superparticle (NLSP) is long-lived, and hence could be
collected and studied in detail. We study the prospects of direct detection of
lepton flavour violation in charged slepton NLSP decays. Mixing angles in the
slepton sector as small as ~ 3\times 10^{-2} (9\times 10^{-3}) could be probed
at the 90% confidence level if 3\times 10^3 (3\times 10^4) sleptons could be
collected.
