Modern Vespa

In some markets, they offer the Liberty with a "delivery" configuration which puts the headlight in a different location. Perhaps there is an alternate trim piece for this model where the original headlight was located?

4.1. Headlamps
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4.1.1. Presence, condition and operation
A motorcycle or motorcycle and sidecar must be fitted with one headlamp, although additional headlamps may be fitted. Apart from headlamp security, the check only applies to mandatory lamps.

Headlamps are not needed on motorcycles that:

are not fitted with front and rear position lamps
have had their front and rear position lamps permanently disconnected, painted over or masked
were first used before 1 January 1931
A motorcycle does not need a main beam headlamp if it:

was first used before 1 January 1972 and has an engine capacity of less than 50cc
has a maximum speed up to 30mph or 50km/h
On twin headlamp systems, one or both headlamps may operate on either beam.

Headlamps' colour must be one of the following:

white
yellow
mainly white light with a blue tinge
If the light intensity of the lamp is significantly reduced, it should be failed.

If the motorcycle does not have a battery or the battery does not have enough charge, you must run the engine to be able to inspect the headlamps.

A 'light source' means any bulb, LED or other means of emitting light.

You must assess damaged or repaired lamps for security, colour, light output and durability.