Since the end of the war, there have been several rounds of negotiations between the United Kingdom and Argentina over the sovereignty of the Falkland Islands. However, these negotiations have not been successful, and the dispute remains unresolved. The United Kingdom continues to administer the Falkland Islands, while Argentina continues to claim them as its own territory.
There is no peace treaty between the United Kingdom and Argentina over the Falkland Islands. However, there is a ceasefire in place, and both countries have agreed to respect the territorial integrity of the other.