As this is a very specific issue I would recommend you the following options:
- Take a look of the similar product which could be integrated with Sitefinity - Telerik Team Pulse.
- Another option is try using the SharePoint (as "middle point" with the mentioned by you application) which is Integrated with Sitefinity
- Custom integrate the BrightWork with Sitefinity using the flexibility of the Sitefinity API
I hope the information above was useful.
Do you want to have your say in the Sitefinity development roadmap? Do you want to know when a feature you requested is added or when a bug fixed? Explore the Telerik Sitefinity CMS Ideas&Feedback Portal and vote to affect the priority of the items