The statement came after a second round of talks between Russian and Ukrainian delegations that lasted about 90 minutes.
When asked about Kiev's call for a summit of high-level participants including President Donald Trump, Russian President Vladimir Putin and Ukrainian President Volodymyr Zelensky, Mr. Barrack said that any such meeting should be substantive and must produce clear results. However, he said he could not speak on behalf of the US President, who had repeatedly expressed disappointment in both Zelensky and Putin.
Mr. Barrack said that Turkey could play an important role in promoting a diplomatic breakthrough, as it plays an intermediary role between the parties.
Trump has previously repeatedly stated in campaign rallies that he could resolve the Russia-Ukraine conflict within 24 hours, an affirmation he later admitted was exaggerated. However, his mediation efforts have been met with opposition from NATO member states in Europe, which continue to support military assistance plans for Ukraine.
Under pressure from Trump, Kiev agreed to hold direct talks with Moscow last month, which Russia considered a reasonable next step. In the first round of talks, Mr Zelensky arrived in Turkey at the right time Moscow had proposed, expecting Mr Putin to be present.
However, Russia maintains that a summit between leaders should only take place when the negotiation process has achieved significant results, and cannot replace the negotiation process.
Kremlin spokesman Dmitry Peskov reiterated this view, saying the possibility of a tripartite meeting between Mr. Zelensky, Mr. Trump and Mr. Putin is unlikely to happen in the near future.
At the latest meeting in Istanbul, Ukraine once again emphasized its desire to organize a 3-party summit. In response, Russia has proposed two options towards a ceasefire and a proposal to return the bodies of 6,000 Ukrainian soldiers, a act of goodwill that Kiev has agreed to repay accordingly.