This article is concerned with the implementation of the Anglo-Argentine 14th July 1999 Joint Statement relating to the Falklands/Malvinas and the South West Atlantic. Initial consideration is given to the recent historical and political context of the Falklands/Malvinas dispute. The arrest of General Pinochet in London is shown to have been a significant factor in Anglo-Argentine relations during the period of 1998–1999. Thereafter, the background relating to the 14th July 1999 Joint Statement is considered in some detail as it relates to fishing, travel, place names, land mines and an Argentine war memorial on the Falkland Islands. Each element of the Joint Statement is shown to be problematic, and the article concludes with the belief that the provisions of the Joint Statement will continue to strengthen the rapprochement between Britain and Argentina without making any substantial progress towards the eventual solution of the dispute over the Falklands/Malvinas.