At the conference's opening, Al-Othaimeen said that Afghanistan has passed through hard circumstances involving killings and destruction.
Around 16,000 troops from US, NATO and other partner countries are deployed in Afghanistan.
"We can't run the peace talks; we can't settle this from the outside", he said.
Ghani's government called for a ten-day ceasefire in June to coincide with the Muslim holiday of Eid.
A United States service member was killed and two others were injured in an insider attack in Afghanistan, informed the North Atlantic Treaty Organisation (NATO)-led coalition's Resolute Support mission. "We're counting on all of the actors in the region to support this process and make sure the Afghan people can have their voices heard during these elections", he said.
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A report by the Special Inspector General for Afghanistan Reconstruction, an independent watchdog, in May found that the USA government's effort to stabilize and rebuild Afghanistan after toppling the ruling Taliban has largely been unsuccessful.
The Taliban group issued a statement claiming that the attack was carried out by the Afghan soldiers and as a result four American soldiers were killed and a number of others have sustained injuries.
Often referred to as "green-on-blue" attacks, insider attacks in which members of Afghan security forces - or assailants dressed in Afghan uniforms - fire on coalition troops have become less common in recent years.
His awards include the Bronze Star, Purple Heart, Army Achievement Medal, and Afghanistan Campaign Medal, officials said, according to news website Military.com.
The invitation says that the main objective of the conference is to reject the "erroneous interpretations of Islamic views by terrorist groups operating in Afghanistan". ISIS is seen as an invading foreign force, its Afghan branch part of a major active threat to American and European security.