I've been on a couple of the ETR470/Cisalpino units and you can tell the family resemblance with 390s.
Alstom have this thing about putting table lamps in 1st class which is also a giveaway.
While the bodyshells and bogies are all made at Savigliano, the tilt mechanism is different on the 390s as it is electric rather than hydraulic.
DB/OeBB's ICE-T units also use the Pendolino tilt system despite looking quite different externally (and being really nice to ride in).
I've also been on the CP, ČD and PKP units (you forgot Poland!), and again you know you are in a familiar bodyshell and fittings, even without tilt.
I thought the PKP units were the nicest, and all the continental fleets are significantly more roomy than the 390s because of our limited gauge.
The basic Pendolino design is for 250km/h, but not many of the trains in service get to do such speeds, mostly being deployed on lower speed routes.
The Avanti 390s have much the most intensive service of the operational fleets, most of which are of quite low numbers (typically 10-20, compared to Avanti's 56).
The 390s have an Alstom traction package with design input from Preston (ex-EE/GEC), but I suspect the continental variants are of French design (or possibly Italian for the ETR470).