Getting a letter of recommendation from university I am in the process of looking at applying to do a Masters degree. I finished my bachelors degree about 4 years ago, and this will be a different university I am applying to, in a different country (bachelors was in UK, masters will be in NL)

Since I don't know who works at the previous university any more (and didn't really have any particular person to ask anyway, as none of them are likely to remember me), what would be the procedure to go about getting a letter of recommendation from someone there?

Should I just email their Student Services department? Or is there some particular process for this?

Thanks.
(transforming the comments into an answer)

The point your question seems to be missing is that professors give recommendation letters, not institutions. LORs are "personal" commitments from people that know you, know how you work, behave, etc. People that do not know you will most likely decline or send worthless letters.

That counts old professors that remember you, regardless of where they are at the moment. Track them down. And there is not that much of turnover in universities, I graduated 10 years ago, most of my professor are still there... 

If no professor knows you, you won't get LORs. You don't need to "make friends" with the professor, good grades on his/her course should be enough. An undergrad research advisor would be better, but not necessary. It won't be a stellar letter, but for MS, it doesn't need to be. Just to reinforce: letters of recommendation are personal, not institutional.