Moscow and Washington sent their deputy foreign ministers to lead the delegations.
On Wednesday, a meeting of the NATO-Russia Council was scheduled in Brussels, the first in two and a half years.
This would be followed on Thursday by talks in Vienna in the framework of the Organization for Security and Cooperation in Europe, OSCE.
The focus was on the accumulation of Russian troops on the border with Ukraine.
The United States and its allies have threatened massive sanctions in the event of a Russian invasion, while Russia demanded guarantees that NATO would not expand further east and cut troops and weapons in Europe.
The talks in Geneva were taking place within the framework of the strategic security dialogue that Presidents Joe Biden and Vladimir Putin agreed to at their summit in the Swiss city in June.
This is the third round.
They were carried out alternately in the diplomatic missions of the United States and Russia in Geneva.
Both sides had already daunted expectations of any breakthrough.
dpa / NAN
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