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.
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