Ghani also said he was willing to release 175 Taliban prisoners in a gesture of 'goodwill'.
Huge swathes of Afghan society worry the Taliban will try to undo advances in women's rights, media freedoms and legal protections.
Organisers are billing it as the largest Loya Jirga in modern national history.
Organisers are hopeful that the militants will change their minds and participate in peace discussions.
Manipulating desperate refugees to fight in foreign wars is a human rights violation, Afghan officials say.
'Its clear all sides want to end the war,' said US Special Representative for Afghanistan Reconciliation Zalmay Khalilzad.
Talks are expected to resume March 2 after a short pause for 'internal deliberations'.
US envoy Zalmay Khalilzad and Mullah Abdul Ghani Baradar, a Taliban deputy leader and a co-founder of the group, have conferred for the first time.
Russia should pay restitution to the Afghan people, rather than meddling in Afghanistan's internal affairs and supporting the Taliban, local officials and analysts say.
The recent 'peace talks' were set up by Russia's intelligence service, not Afghans living in Russia, as the Kremlin tried to spin.