The first thing you need to do is find out if the manufacturer has an agent in Europe acting as their Responsible Person. Unfortunately Chinese and Taiwanese factories often just put a CE mark on anything they make without really bothering about whether they are actually compliant. Following last year's changes in Eu law, this is no longer acceptable (to be fair, it was never really acceptable but easy to get away with). You need to have a European agent who is prepared to vouch for the products when challenged, i.e. they must be able to provide proper testing certificates and other documents when appropriate, to prove your goods comply with Eu regulations (and hence, relevant ISO standards). The Responsible Person MUST be based in the Eu, they cannot be in the UK, nor can you be that person.

There are companies in Europe offering this service, it isn't cheap and you should be aware that, if they agree to do it, they are putting their own necks on the line if there is some sort of investigation, hence they will insist that you provide adequate documentation for your products. This will include things like test certificates, risk assessments, instructions, safety information etc.

If your manufacturer has all of this covered then great, you just need to get the relevant info from them as to who their Responsible Person is, otherwise it's down to you I'm afraid.