The reason a product carries the CE Mark is that as a manufacture you provide the same certification marks on everything. You don't pick what S/N of a specific product goes where and then mark them. This would be to time consuming.
When you submit a product for certification and pass the product is marked. Most Manufacture will mark for North America and the EU. Those approvals are provided on the product and it is then shiped all over the US and Europe. If you go to the EU you will see US and CSA marks as well.
However I have heard that China has a mark that looks like the CE Mark and it is done to confuse the market place into thinking they are buying something they're not.
