LVIV, Ukraine — Both Russia and Ukraine say they’ve made a little progress during a third round of talks and Russia’s top negotiator says the corridors are expected to start functioning Tuesday.

Mykhailo Podolyak, an adviser to Ukrainian President Volodymyr Zelenskyy, said without elaboration Monday that “there were some small positive shifts regarding logistics of humanitarian corridors” to allow civilians to flee some besieged Ukrainian cities. He said that consultations will continue on ways to negotiate an end to hostilities.

Russia’s top negotiator Vladimir Medinsky, said he expects that humanitarian corridors in Ukraine will finally start functioning Tuesday. He said no progress has been made on a political settlement, but voiced hope that the next round could be more productive.

“Our expectations from the talks have failed, but we hope that we would be able to make a more significant step forward next time,” Medinsky said. “The talks will continue.”

Efforts to set up safe passage for civilians over the weekend fell apart amid continued shelling. But the Russian Defense Ministry announced a new push Monday, saying civilians would be allowed to leave the capital of Kyiv, Mariupol and the cities of Kharkiv and Sumy.