Talks on a pact that would allow the United States to end its longest war and withdraw troops from Afghanistan ended on Monday without agreement and both sides saying they would consult their leaders on the next steps.
Khalilzad had tweeted during the just concluded talks that "we have made excellent progress", raising exceptions a deal was imminent.
In his August 11 speech, Ghani said: "We don't want a peace in which Afghans wouldn't have dignity".
"We prolonged our meeting with the hope of reaching a peace agreement but it could not happen", said a member of the Taliban negotiating team in Qatar. "We stand with them and are working hard toward a lasting & honorable peace agreement and a sovereign Afghanistan which poses no threat to any other country", he said in a post on Twitter.
Afghans around the country spent the first day of Eid al-Adha in peace as the Ministry of Interior says twelve security incidents were prevented on Sunday.
The talks, held in Qatar since late previous year between the Taliban and U.S. officials, have brought hopes for an agreement allowing USA troops to leave in exchange for a Taliban promise that Afghanistan will not be used by militants as a base from which to plot attacks overseas.
"Our future can not be decided outside, he said, adding: "The fate of Afghanistan will be decided here in this homeland".
London hit by power outage in suspected national grid failure
The UK is experiencing major power failures , with trains, airports and traffic lights having all been affected, the BBC reports. They said they are "aware of an unexpected issue affecting the above postcodes and are working hard to restore power by 1830".
Yesterday, US peace envoy Zalmay Khalilzad tweeted: "I hope this is the last Eid where Afghanistan is at war", referring to the Eid al-Adha festival now taking place in the Muslim world.
USA envoy Zalmay Khalilzad is hoping to reach a peace deal by September 1, weeks before Afghanistan's presidential election. "We don't want anyone to intervene in our affairs", Ghani told an Eid-related gathering at the presidential place in Kabul.
Afghanistan's president on Sunday rejected foreign interference as the United States and the Taliban appear to be closing in on a peace deal without the Afghan government at the table.
The Taliban has so far refused to negotiate with the Afghan government, calling it a "puppet regime".
The U.S. envoy for Afghan peace Zalmay Khalilzad has expressed hopes that this will be the last Eid where Afghanistan is at war. "The fate of Afghanistan will be decided here in this homeland", he said.
The Taliban have denounced the election as a sham and threatened to attack rallies.