Dear Anders,
many thanks for your reply and for your suggestion to contact my A-Kasse. I have done that but I am still waiting for a reply and this is getting quite urgent.

The point is that this company is based in another EU country and since the work is project-based, they would not employ me as a full-time employee. Therefore, my understanding is that if I want to collaborate on this project I have to do it freelance from Denmark and invoice them for the work. Unless there is another way to do this that I am not aware of?

Further to your explanations.
– Can I register as “employed” even if I take the work as a self-employed person and suspend my dagpenge?
– Could you better explain about the waiting period? I know that the project will have a duration of a couple of months, so when this is finished I will have no right to any money for another month? Is there another way I can register this work to avoid this? It doesn’t make much sense to work for 2 months and then receive nothing for a month because of the waiting period.

What are the options you mention in your last paragraph? I am not aware of them.

Thank you again,