It's possible that some Rebel parts will be sourced from different places than the 350d but essentially thay are the same camera. As already said you will not get an internationsl guarantee with a rebel which means you either have to send the camera to the US or buy a seperate guarantee yourself. If the cost savings are big enough it's worth considering.
I own the Digital Rebel which is the US version of the 300d, it's well out of guarantee now but I've never had a moments' bother with it. I saved about £170 on the UK price of the 300d at the time of purchase. The downside is that a lot of US suppliers have got wise to the price difference and charge much nearer the UK price to sell here (on eBay at least)