I attached an example of LDSD integration with Sharepoint Portal.
I have seen LDSD integrated with a 3rd party software using event manager. You may check the LDSD user manual called EventManager.pdf
I heard there might be some new docs about the API description in the release of 2016.2 next month which cannot be confirmed yet.
I hope that helps.
Web API.PDF 1.2 MB
I have done this on a number of occasions using Event Manager. It is common for customers to have existing web forms that they do not wish to/cannot replace. So the web form remains in place and is altered to make a Web Service call to the Event Manager framework.
Have a search on here/LANDesk help for Event Manager that should give you a starter for ten.