Abstract We reconsider the possibility that inflation was driven by a sneutrino—the scalar supersymmetric partner of a heavy singlet neutrino—in the minimal seesaw model of neutrino masses. We show that this model is consistent with data on the cosmic microwave background (CMB), including those from the WMAP satellite. We derive and implement the CMB constraints on sneutrino properties, calculate reheating and the cosmological baryon asymmetry arising via direct leptogenesis from sneutrino decays following sneutrino inflation, and relate them to light neutrino masses. We show that this scenario is compatible with a low reheating temperature that avoids the gravitino problem, and calculate its predictions for flavour-violating decays of charged leptons. We find that μ→ eγ should occur close to the present experimental upper limits, as might also τ→ μγ.