Update 9pm: Russia's foreign minister has said he is thinking of "calling it a day" on talks with the United States to forge a ceasefire in Syria.
He said it may be necessary to have follow-up talks next week.
Sergey Lavrov expressed frustration with what he said was a five-hour wait for US Secretary of State John Kerry to get approval from the Obama administration for some sort of understanding. He did not specify.
The two sides have been trying to find a way to end more than five years of fighting between Syria's Russian-backed government and US-supported rebels.
Several previous efforts have failed in recent months.
Mr Lavrov spoke to journalists in a clear attempt to put pressure on the US for an answer.
Earlier: American officials have played down hopes of an imminent ceasefire agreement for Syria as US Secretary of State John Kerry opened a fourth set of negotiations with his Russian counterpart in the past two weeks.
Previously, officials suggested Mr Kerry would not travel to Geneva unless a deal was clearly at hand.
The talks between Mr Kerry and Russian foreign minister Sergey Lavrov aim to produce a nationwide ceasefire in Syria after more than five years of warfare and as many as 500,000 deaths.
A deal hinges on an unlikely US-Russian military partnership that would come into force if Moscow can pressure its ally, Syrian president Bashar Assad's government, to halt offensive operations.
Washington would have to persuade the anti-Assad rebels it supports to end any coordination with al Qaida and other extremist groups.
Neither side has succeeded in doing its part despite months of diplomacy. And the task may be getting even more difficult as fighting rages around the divided city of Aleppo, Syria's most populous and the new focus of the conflict.
Mr Assad's government appeared to tighten its siege of the former Syrian commercial hub on Thursday, following several gains over the weekend.
Forty days of fighting in Aleppo has killed nearly 700 civilians, including 160 children, according to a Syrian human rights group.
Volunteer first-responders said they pulled the bodies of nine people, including four children, from the rubble following air raids on a rebel-held area, after reports of helicopters dropping crude barrel bombs over the area on Friday.
The US officials accompanying Mr Kerry to Geneva said they could not guarantee an agreement on Friday and more talks may be needed.
Aleppo will be a large part of the day's discussions, they said, along with the technical details of a ceasefire, defining everything from how far back from demilitarised areas combatants would have to stay to the types of weapons they would need to withdraw from front lines.
Mr Kerry and Mr Lavrov held at least three sessions of discussions on Friday in Geneva. It was unclear how long the talks would go on.
Since August 26, Mr Kerry and Mr Lavrov have now met twice each in Geneva and in China on the sidelines of a global economic summit.
They have held a flurry of phone calls in recent days. Both governments had said they were close to a package that would go beyond several previous truces between the Syrian government and armed opposition - all of which failed to hold.
For Mr Kerry, securing a sustainable peace in Syria has become his biggest objective as America's top diplomat since last summer's Iran nuclear deal.
"Our own goal is to try to settle the remaining issues that we have in reaching an agreement," State Department spokesman Mark Toner said on Thursday as Mr Kerry weighed the trip.
"Once we feel like we're closer to a settlement and a meeting would be valuable, then we'll have that meeting."
In addition to those killed, Syria's conflict has chased millions of people from their homes, contributing to Europe's worst refugee crisis since the Second World War. Amid the chaos of fighting between Syria's government and rebels, the Islamic State group has emerged as a global terror threat.
Russia's military intervention last year has shored up Mr Assad's position. Although Russia claims to be targeting IS and the Nusra Front, al Qaida's Syria affiliate, the Obama administration says the majority of its air strikes have hit "moderate" rebels backed by the United States and its Arab partners.
Russia has been keen to unify its counterterror campaign with that of the United States, but up to now Washington has held back.
Mr Kerry's offer includes intelligence sharing and joint targeting coordination. In exchange for getting Mr Assad's air forces out of the skies, the US and Russia would work together to identify acceptable targets and then approve strikes.
The idea of such cooperation, however, has prompted significant scepticism from powerful members of the US national security establishment in Washington.
In a speech this week in Britain, US defence secretary Ash Carter accused Russia of sowing seeds of global instability and questioned whether Moscow genuinely wants a viable cease-fire in Syria.
Russia's support for Mr Assad, he said, "has made the situation in Syria more dangerous, more prolonged and more violent".
US National Intelligence director James Clapper has been another vocal opponent of any enhanced US-Russian coordination.
Perhaps reflecting these divisions, the State Department's Mr Toner said internal US discussions also were continuing.
"These are difficult processes," Mr Toner told reporters. "The Russians have conditions they want to see met and addressed; we have our own. And in reaching our own consensus... we continue to have those conversations. We're just not there yet."