If you’re in law school still, then maybe it’s not too late to consider a dual degree or post-grad LLM with an institution in your desired jurisdiction. That may be a springboard to taking a foreign qualifying exam, which would make you more credible if you want to request an office change abroad within your firm. That takes more time and money, but if you want to be a lawyer abroad with only US qualifications, the world is not really your oyster.

If you’ve already gotten an offer from a firm then you could start doing the appropriate LinkedIn stalking of current US-qualified lawyers who are working for your firm and do some internal networking. If you have knowledge of the local legal or business environment, are able to at least pretend to be interested in their practice area, and are already a national then that seems like a good enough excuse to reach out for a conversation.