I've just skimmed through some posts from a couple of weeks ago on this thread
@Briselgrand A few years ago here in the UK there were a few companies offering a conversion that gave a diesel lpg mix to help reduce running costs for the white van brigade but I don't think it realy took off
It is possible to fit an LPG system to add a bit of LPG to the mixture during running on diesel, i.e. to supplement diesel fuelling with the addition of a bit of LPG.
You couldn't really call it 'an LPG conversion' on a diesel engine because the diesel engine will always need to run on by far the majority of diesel, it can never run on LPG alone.
Not all such systems could be called 'fumigation' systems. Only systems that use a gas carb / LPG mixer type system on a diesel engine could be called fumigation systems, such systems would be more suitable to older diesel engines than more modern diesel engines. Modern diesel engines should be fitted with an LPG injection system, injection systems are not called fumigation systems.
Depending on the spec of the diesel engine it may be able to run on up to 30% LPG (so 70% diesel).
One of the benefits of adding LPG to the mix on an engine running on diesel is that it increases the overall efficiency of the diesel engine (and lowers emissions at the same time). Older design diesel engines are less likely to be as efficient as newer design diesels, smoke and particulate emissions from a diesel engine are unburned diesel. Adding LPG to the mix can see more of the diesel burn fully inside the engine where it will do useful work rather than go out of the exhaust having done no work. So addition of an LPG system can be more beneficial on an older design diesel engine than on a newer design diesel engine.
The problem for adding LPG to the mix on a diesel engine is that too much LPG can cause 'star fire' which is a bit like pinking on a petrol engine. Starfire can destroy a diesel engine, there is a fine line between maximising savings by running a diesel engine on as much LPG (and little diesel) as possible and going too far and causing starfire.
Modern LPG supplementation systems for diesel engines are fully configurable/programmable to inject the correct amount of LPG over the full range of the engine's operating conditions, and are fitted with extra sensors such as exhaust gas temperature sensors to further reduce or shut-off LPG addition if a problem is noticed.
A diesel engine will produce more power with the addition of LPG. But if the extra power is used the engine will use more fuel than it would without the LPG addition, it will still use the same amount of diesel but will use LPG at the same time. If the extra power isn't used it will be cheaper to run because less diesel than usual will be used due to the partial fuelling by LPG while at the same time the LPG makes the diesel that is used burn more efficiently.
The 'but if the extra power is used' point is perhaps the reason we don't see many diesel vans or fleet vehicles fitted with LPG... Bosses know that drivers likely would use the extra power when bombing up and down the motorway at 90mph in Sprinters etc and bosses would end up with a higher fuel bill rather than lower. But for private owners that pay for fuel themselves and don't bomb around at 90mph good savings are available... But not as good as the savings from converting a petrol vehicle to LPG.