Declaration of Conformity signed by a Chinese manufacturer

We have purchased a stapler in China. In addition, a CE certificate of conformity was signed by the director of the Chinese manufacturer. Is that correct?

A Declaration of Conformity may not be signed by anyone from outside the EU, so that statement you have is not worth much.

In addition, you are fully responsible for the CE marking and it is therefore important to check whether the Machinery Directive requirements are met.