The towns of the Amalfi Coast aren't directly accessible by train, but you can take one to Sorrento or Salerno and then board a SITA Sud bus. The Circumvesuviana railway, which runs along the curve of the Bay of Naples from Naples to Sorrento, runs approximately every half hour. The Milan–Reggio Calabria state-railway train stops in Salerno, whose station here is a good place to pick up buses serving the Amalfi Coast.
Circumvesuviana (800/211388. www.eavcampania.it.)