The first Kabul Process for Peace and Security Cooperation Conference was held in June of a year ago. In return, the Afghan president said the militants should officially recognise the Afghan government and constitution, a perennial sticking point in past attempts to open talks.
However, Taliban fighters control large parts of the country, the Kabul government itself is deeply divided and thousands of Afghan soldiers and civilians are being killed every year.
He said the momentum for peace was building from neighbouring countries that increasingly saw the necessity of a stable Afghanistan.
Ghani said a framework for peace negotiations should be created with the Taliban recognised as a legitimate group, with their own political office to handle negotiations in Kabul or another agreed location.
Previous peace talks offers have not stopped attacks by the Taliban, who have yet to respond to the offer.
While foreign nationals are believed to be working with the Taliban, Western fighters are extremely rare.
With the war against the Taliban at a stalemate and U.S. President Donald Trump backing a more aggressive strategy against the militant group, Karzai said in an interview the U.S. can't win without all major powers - including Russian Federation - on board.
In a statement issued on Monday, the Taliban asked U.S. officials to talk directly to their political office regarding a peace solution and said that Washington must realize there was no military solution to the conflict, according to a media report. Afghanistan has accused Pakistan of aiding the Taliban; Pakistan has denied the claim.
"A man with a long beard, wearing a black turban who identified himself as a German citizen and speaks German, was taken along with three other suspected Taliban on Monday night in Gereshk district of Helmand province", said Omar Zwak, the provincial governor's spokesman. The statement said there was "no doubt" that Ghani had given "an excellent speech".
"In such circumstances, we do not care about America, neither do we want to talk, nor end resistance, nor will we get exhausted", it said.
"I call on Taliban and their leadership - today the decision is in your hands".
The US previous year stepped up its military assistance to Afghanistan, notably through a sharp increase in air attacks, with the aim of breaking a stalemate with the fighters and forcing them to the negotiating table.
"Certainly the United States could have a role in that".
While the insurgents dominate only a sliver of the country, they still hold substantial sway.