If you look at most of the big transformer mfrs, they will all offer "K factor" transformers as standard products that will go from 208 or 230V 3 phase to 400Y230V 3 phase. It's because (as mentioned in another thread), data centers are using 400VY distribution. K-factor transformers are designed to handle the added neutral current from non-linear loads like computer power supplies. You will not need that for an espresso machine, but it doesn't hurt and as a standard transformer it will likely cost less than a custom one and be on the shelf.
I've done 2 Italian espresso machines similar to this, the Italians typically use Wye connected heater elements. For low power they use only one of them, high power it's all 3. So yes, you likely need to feed it 380V 3 phase power. This machine is a "hand press" meaning there are no pumps in it (unless you get the option for low water). All it has electrically will be resistive heater elements. They will not likely care if it gets 400V or 415V, that will just mean faster heating, but LESS than 380V and it will take LONGER to heat the water.
Getting a wiring diagram would be a great way to confirm this, I also highly recommend it. When I did mine, the vendors were less than helpful in providing accurate electrical information in advance, but there were good diagrams that came with the machines when they arrived. I think if you insist on it hard enough, you might get cooperation on that. The vendor company I did that work for started insisting on full manuals in advance from the machine mfrs after that experience (because I charged them for my time in investigating it). What they found was that the machine mfrs don't think it's necessary to provide manuals in advance because they are thinking in terms of connecting in Europe where these details are really irrelevant (because they WILL have the right voltage available).