They started out in this country by offering a fairly basic sxs (Fausti Style) through Cabela's. They've upped their game considerably in terms of fancier guns that you now see here in the States.
The first Fausti guns I remember seeing in this country in any quantity were the really cheap over-unders that were being sold in WalMart. That was in the mid to late 90’s.
Peddling such a cheaply made, cheap looking o/u in the Walmart display case probably did a lot to hurt their brand image for many years to come. I still have it in my head every time I see a Fausti gun, no matter how nice they appear to be these days.