The two countries have also agreed to work together to resolve their land border dispute.
The shooting stopped in 2000, and an international court ruling settled the border dispute in April.
Thailand insists that bilateral talks can resolve the border dispute and rejects outside mediation.
But, even in private, neither side admits to any serious disagreement beyond the border dispute.
Relations between the two countries are strained following a border dispute, which makes dealing with common problems difficult.
However, he said, for those involved in trade, the border dispute is insignificant.
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The settlement of the border dispute with Russia has also boosted exploration efforts.
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In 1988 the two prime ministers, Rajiv Gandhi and Li Peng, agreed to set the border dispute to one side.
Belize's independence was delayed by a long-running border dispute with Guatemala, which refused to recognise its neighbour's independence until 1992.
Eritrea has a hot border dispute with Ethiopia which could easily ignite.
The Malawian government admits that this border dispute is a source of concern, but its economy needs oil, to diversify away from tobacco.
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This place, a nesting ground for the Atlantic puffin, is also at the centre of a long-rumbling border dispute between America and Canada.
In 1899, the border dispute between British Guiana and Venezuela was finally settled, Venezuela gaining the area around the mouth of the Orinoco river.
India and China have agreed to set aside their border dispute for the time being and to get on with normalising economic and cultural ties.
Mr Mahuad, whose big achievement was to end a futile 60-year border dispute with Peru and cut military spending, claims he was the victim of army revenge.
Why, that he had had business dealings with the armed forces of Ecuador, a country with which Peru has a long-standing, and occasionally briefly flaring, border dispute.
Mr Tannock said he hoped negotiations would be able to start in June, adding that Montenegro was a "champion of regional co-operation" such as resolving a border dispute with Croatia and fighting organised crime.
Using Chavez as the mediator might come with further diplomatic costs for Colombia, however: Chavez announced that his involvement might also be an opportunity to settle the pending border dispute over the potentially energy rich Gulf of Guajira.
Russia's natural resources minister Jurij Trutnev, meanwhile, has been making optimistic noises in recent weeks about the likelihood of a resolution of a long-standing border dispute between the two nations over a 155, 000 square kilometres "grey area" in the Barents Sea.
The border dispute remains unresolved.
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Any state in a border dispute with another can petition directly to the high court under judicial powers defined in Article III of the Constitution, according to Joseph Zimmerman, a political-science professor at the University at Albany, State University of New York, and the author of several books on interstate disputes.
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Since South Sudan's independence, tension between the new neighbours has been strained, with rebellions breaking out on either side of the border and a dispute over oil which escalated to the brink of war last April.
The dispute over the sea border arose after Israel discovered massive quantities of natural gas in its territorial waters in 2009.
The dispute with Peru is over a maritime border in the Pacific, which the Peruvians took to the International Court of Justice in The Hague.
So his departure could hurt the chances of resolving the Arab-Kurdish dispute over land and oil in the border region around Kirkuk, a city and province which the Kurds say is theirs.
In bilateral talks at the meeting, Thailand and Cambodia made no progress on their dispute over the Preah Vihear temple on their border.
Mr Vasquez, in office from 2005 to 2010, said he had weighed a war option amid a dispute with Argentina over a pulp mill on their border.
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Dozens of EU monitors will be at the crossing for at least the next 12 months, with the final say in any dispute over who and what are allowed to cross the border.
While regional peace conferences are always risky enterprises, it's difficult to imagine bringing a cease-fire to the Syrian situation without all parties that border that state or who have armed and financed any faction in the dispute being at the conference table.
The cause: a dispute over which country should control a Buddhist temple after France decades ago demarked the border between the countries.
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