Hello
There is scheduled synchronization in Converter since 5.0. Here is a snapshot from 5.1:
You should be aware that scheduled synchronization is available for Windows P2V to managed destinations only. Other restrictions apply to using synchronization (see p.71)
You can schedule only one synchronization, though, no recurring scheduling.
Converter as a vCenter Server plugin has been discontinued since 4.1 (if that is what you mean by enterprise version).
HTH
Plamen