The UN asked Great Britain to give the island back to Argentina, but they refused.

https://en.wikipedia.org/wiki/Falkland_Islands_sovereignty_dispute

That’s what you understood after reading the page you linked?

I should have been more precise in my language, and that say that the UN wanted them to negotiate a peaceful end to the war and ownership, but generally speaking, yes, based on follow up votes/press releases that the UN made on the subject (like this one).