Very few Vespa mopeds with CDI made it to the US. Vespa CDIs are expensive, and require Vespa CDI cases because the mounting points for the stator/coils are different. This makes the Kinetic CDI the go-to cheap CDI option for stock or other points-cased vespa engines.
The attached PDF is a wiring diagram for installing a Kinetic CDI onto a Vespa moped (Ciao, Bravo, Grande). It shows the bike with simplified wiring or hard wired. It should be a good place to start from and switches can always be added.
Kinetic CDI wiring diagram. The white wire splits off to the kill switch.
Original Kinetic wiring diagram:
Kinetic CDI Coil and Voltage Regulator Mounting
Here is a picture of the coils properly installed:
