Leaders of the Greek and Turkish Cypriot communities in Cyprus held another inconclusive negotiating session on the Cyprus problem on Tuesday, before taking their summer vacation. Alexander Downer, who oversees the talks on behalf of the UN Secretary General Ban Ki-moon, said Greek Cypriot leader Demetris Christofias and Turkish Cypriot leader Dervis Eroglu continued talking on the property issue, perhaps the thorniest aspect of the long standing Cyprus problem. He added they will meet again after returning from their vacation on August 31. He said that Christofias invited Eroglu and his wife to dinner at his country house, also on August 31, reciprocating to a recent dinner hosted by the Turkish Cypriot leader. Christofias said he and Eroglu had a quite but inconclusive discussion, with each side maintaining its negotiating stance. 'We talked in mild tones but the approach of each side continued to be different,' Christofias said. Christofias, who is also the president of the internationally recognized Republic of Cyprus, insisted on his proposal to link the property issue with the chapters of territorial adjustments and the repatriation of thousands of mainland Turkey settlers who were given Greek Cypriot properties. Eroglu told Turkish Cypriot media after Tuesday's meeting that he will seek acceleration of the Cyprus peace negotiations when talks resume in September. 'The aim is to reach a solution by the end of this year,' he said. Turkey sent troops to northern Cyprus in 1974, in response to a coup by Greek army officers, forcing over 170,000 Greek Cypriots ( one out of three) to flee their towns and villages, now under Turkish Cypruiot control. Christofias said that linking the three issues will speed up the process, because it would be easier to negotiate the property issue when it is known how much territory is to be returned to Greek Cypriots out of the present 37 percent occupied by Turkish troops, and how many settlers will be repatriated. Turkish Cypriots made up 18 percent of the population before the Turkish military intervention, but tens of thousands of Turkish settlers came subsequently from Anatolia, dramatically changing the population ratio. The Turkish side is rejecting the suggestion and insists on negotiating each chapter separately. Christofias said that a final effort will be made on August 31 to reach some convergence. 'If we fail, each side will submit its comprehensive proposals on the issue,' Christofias added. Meanwhile, Alexander Downer declined to comment on reports that he has given notice that he will quit his job if an agreement on the Cyprus problem is not reached by the end of the year. 'I am very much dedicated to what I am doing,' he said. Without revealing his next move, Downer said that he joined the Cyprus talks on six-monthly contracts which are renewed in consultation with the United Nations. The Cyprus negotiations started in September 2008 but are not any near to an overall agreement. 