The word "dragning" probably (my guess) derives from "föredrag" meaning lecture. The way it is used is typically when you verbally report or give an account of something in a semin-formal context, such as for example reporting on a matter to a Board of Directors. Reporting ought to cover all basis, with the caveat that a "dragning" is done verbally in person.

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Note added at 30 mins (2019-05-12 15:10:19 GMT)
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Dragning is "semi-formal", so it is quite natural to say "med" instead of "till" or "för". "med" here is synonymous with "inför", in English, just use "to".
A dragning is usually made to peers or superiors, not like a lecture which is delivered to "inferiors".

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Note added at 34 mins (2019-05-12 15:14:00 GMT)
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And to answer your question, yes, it could probably be stretched to "discussions" but I would avoid unless there is something in the context really hints towards a discussion.

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Note added at 51 mins (2019-05-12 15:31:08 GMT)
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A better alternative to "report" maybe would be "make a presentation". A couple of typical examples (which you've seen hundreds of times in movies And TV series) a person presenting quarterly sales figures or the ideas for a new marketing campaign to the company board. Or in crime series, when someone gives an account of the surveillance of a suspect to the police department.