Russian President Vladimir Putin has told his French counterpart the shelling of the besieged city will only end when Ukrainian troops surrender, the Kremlin said in a statement.
But French officials said the Russian leader had agreed to consider plans to evacuate civilians from the city.
Officials from France's Elyseé palace called the situation in the city "catastrophic" and added that "civilian populations must be protected and must leave the city if they wish to. They must have access to food aid, water and the medicines they need".
France, along with Turkey, Greece and several humanitarian groups, have presented Putin with a plan to evacuate the city.
Officials said Putin told Emmanuel Macron that he will "think about" the proposal.