An American working in Sweden: Any ideas?

A little background:

I just graduated from law school in the UK as the valedictorian. I’ve got a publication and excellent references, and I am pursuing a Masters in law at Oxbridge in October. I will focus on corporate finance, competition law and intellectual property.

So far I am an unqualified lawyer. I have the option of taking the New York bar exam in the USA if I need to tick a bureaucratic box of being “qualified” somewhere.

I also have an opportunity to take a JD at a top US university, putting me in a good position for a BigLaw job in the US. However, the thing is, I am only 22 and I love Sweden. I want to spend time living there. I’m not feeling like I even want to return to the US very much, but at times, law feels so constrained that it may be my only option.

I do not speak Swedish but I am confident I could learn, to a reasonable proficiency rather quickly. From brief research, it seems that some law firms depending on the specialisation do not even require Swedish.

At the same time, while I pursue my wanderlust I also want to be able to build my resume and career… I do not want to go over and do something non-law related. (If only I was an EU citizen….)

Does anyone have any ideas on the best way to investigate this, seek internships, or how I should approach law firms regarding these matters?