The telephone conversation also followed Karzai's assertion in a newspaper interview last week that his government was involved in talks with the Taliban, both with and without the United States. "They discussed regional support for Afghan-led reconciliation, the Afghanistan-Pakistan-Iran trilateral meetings last week in Islamabad, and other strategic issues of mutual concern," the White House said in a statement. "They agreed to speak again soon to remain closely aligned as both countries continue our efforts to achieve common goals, and work to forge a long-term partnership," it said. Karzai, meanwhile, told the Wall Street Journal in an interview that his government was involved in secret three-way contacts with the US and the Taliban -- a claim the insurgent militia denied but the White House confirmed. With US combat forces due to be out of Afghanistan by the end of 2014, the pressure is growing for diplomacy aimed at bringing the parties to the conflict together to work out a negotiated solution. Washington has said it is open to a dialogue subject to certain conditions, namely that Taliban members who want to take part must lay down their arms, renounce Al-Qaeda and pledge allegiance to the Afghan constitution. The Taliban said last month that they planned to set up a political office in Qatar ahead of possible formal talks with the United States, and Afghan and US officials have said that exploratory contacts are already under way.