A member of the Ukrainian delegation, David Arakhamia, said on Saturday that the third meeting between Ukraine and Russia will take place on Monday.
"The third round of negotiations will be held on Monday," he wrote on his Facebook social network page.
The agreement reached in the last round, held on Thursday, was aimed at establishing humanitarian corridors.
The second round of negotiations took place in Belovezhskaya Pushcha in the Belarusian region of Brest, near the Polish border. It was the first time that the two sides reached agreement at some point in the negotiations since Russia invaded Ukraine.
Russia launched a military offensive on Ukraine in the early hours of February 24 and the Kiev authorities have so far counted more than 2,000 civilians dead, including children. According to the UN, the attacks have caused more than 1.2 million refugees.