CSS: a styling quandry

I'm working up some static pages for work, and hit a snag with some of the styling.

The CSS that I'm working with creates some bespoke graphics for bullets for link lists, although it would appear the original designers have created a large template from which the relevant icon can be chosen from.

For some reason, the bullet which should appear is joined by other icons, which I want to get rid of. How do I solve it?

For those interested the page is available through the link