"The problem is that this is a power struggle between Taliban insurgents and foreign envoys", says Afghan journalist Bilal Sarwary.
Trump said, "As far as I am concerned, they are finished for me".
"I always think it is good to meet and talk, but in this case, I made a decision to", he said.
However, Rice also echoed widespread criticism of the president for arranging a meeting with Taliban leaders at the Camp David presidential retreat just days before the anniversary of the 9/11 attacks.
Driving one other nail into the coffin of what had seemed to be nearly finalised negotiations, Trump mentioned a U.S. army onslaught on the guerrillas was at its fiercest stage in a decade.
US and Taliban representatives spent months negotiating peace and American withdrawal from Afghanistan. Catch all of the Stay TV motion on HEARALPUBLICIST 24×7 and HEARALPUBLICIST India.
The Taliban attack came on Thursday, when a vehicle bomb blast shook Shash Darak, a heavily fortified area adjacent to the green zone and home to several important complexes including the National Directorate of Security, the Afghan intelligence service.
He said Russian Federation considers the U.S. -Taliban deal as an "important step" that would pave the way to the national reconciliation and further comprehensive settlement of the Afghan crisis, and expects it will finally happen.More news: Another Tropical Storm Could Potentially Be Forming Soon and Named "Humberto"
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'I've never believed that a deal with the Taliban is either easy or imminent, ' Senator Marco Rubio said.
Asked if the USA would keep all 14,000 troops still in Afghanistan or reduce them to 8,600 as announced last week, Pompeo said: "We're going to have to take a good look at that ..."
USA negotiator Zalmay Khalilzad had announced a peace deal "in principle" with the Taliban on Monday.
So certain were many candidates that the election would be delayed - and that an interim government might be formed instead - that they hadn't bothered to campaign.
However, Pompeo also told CNN that Khalilzad and his team "made real progress" in Doha but now the Trump administration wanted to see if Taliban leaders were serious about the commitments they made in these months-long talks. Judy Woodruff talks to Laurel Miller, former USA special representative for Afghanistan and Pakistan.
The cancellation - announced on Twitter - was the first time most Americans learned that such a dramatic meeting was even planned. US Marine General Kenneth McKenzie of US Central Command said the US military is likely to accelerate the pace of operations in Afghanistan to counter the upsurge.
The suspension throws into doubt last week's draft deal agreed between the U.S. and the Taliban which would have seen a major USA troop withdrawal - offering Washington an opportunity to end its longest-running conflict.
The Afghan government, sidelined from the negotiations, seemed hesitant to directly respond to Trump's announcement, saying simply that "we have always said that a real peace will come when the Taliban stop killing Afghans and implement a ceasefire and start direct negotiations with the Afghan government" on the country's future - talks that were meant to quickly follow a U.S. -Taliban deal.