Envoys from Kyiv, Moscow and Washington DC discuss security guarantees, territorial concessions and a Europe-wide security framework at their first meeting since February.
Despite Donald Trump insisting a deal can be done, the trilateral failed to provide any breakthroughs.
There remain major gaps between Ukraine and Russia on the terms of any possible agreement.
Russian and Ukrainian officials have met in Abu Dhabi for their first US-brokered talks since February, after Donald Trump suggested last week that a broad deal was possible on ending the war in Ukraine and guaranteeing security in Europe.
US envoy Jared Kushner told delegates that recent contacts with both sides had "really identified, narrowed the gaps", and the US side had "some good ideas" on how to bridge their differences.
Mr Trump, he said, was committed to achieving peace.
"He really has asked us to put extra effort into trying to find a solution that hopefully ends the war but also leaves both sides in a much stronger position" to realise their full potential, Mr Kushner said.
But more than four and a half years after Russia's full-scale invasion of Ukraine, and with Russian forces holding about a fifth of the country, Moscow and Kyiv remain far apart — despite Mr Trump's optimism — on terms for a possible settlement.