However, the BBC has learnt that party agents from the Ghani camp staged a brief walkout on Saturday after a dispute over how the ballots were being scrutinised, the BBC's Karen Allen in Kabul reports.
The two sides still appear at odds over the ground rules for the audit, and most of the 23,000 ballot boxes are still to be checked, our correspondent says.
US special representative James Dobbins is now back in Afghanistan for talks with both candidates try to "move the process forward" - paving the way for a government of national unity, but only once an audit is complete.
Meanwhile, Nader Nadery, who heads the main Afghan election observer team, warned that the auditing process "could be much slower than anticipated" if disruptions continued.
He added that further stand-offs "would do little for national unity".
Taliban militants have been testing the capacity of the Afghan army in recent weeks, with a major offensive in the southern province of Helmand.
The withdrawal of foreign troops by the end of this year will be the litmus test of whether more than a decade of training and investment in building up Afghanistan's own security forces has paid off, correspondents say.
President Barack Obama has said the US remained committed to Afghanistan provided the incoming president signed a security agreement.
Afghanistan's current President Hamid Karzai, who came to office after the US-led overthrow of the Taliban, is stepping down after more than 10 years.