As the Falkland Islands prepare for Liberation Day on June 14, the long-standing territorial dispute between the UK and Argentina is complicated by the potential discovery of oil reserves in the region. The islands, claimed by Argentina as Las Islas Malvinas, have been a point of contention since the 1982 conflict, which saw Britain reclaim control after a 74-day war. Argentina's current president, Javier Milei, has escalated rhetoric surrounding the islands, asserting that they are an integral part of Argentina. Meanwhile, the Sea Lion oil field, located approximately 220 km from the Falklands, holds the promise of significant oil production, potentially yielding up to 180,000 barrels per day. The implications of oil extraction raise concerns over environmental risks and the sustainability of existing territorial claims. Current international law, which ties maritime rights to land sovereignty, may not effectively manage the complexities of resource competition. The authors suggest exploring equitable arrangements for resource sharing, akin to the agreement between Australia and East Timor, as a means to break the diplomatic deadlock and address the environmental and economic stakes involved.