We've heard from the key players on the ceasefire proposal today, with interaction between the US and Russia continuing as pressure grows on Vladimir Putin to agree to a deal.
But what did they say? Take a look at a summary below:
Vladimir Putin
We heard from Russia's president this afternoon, and he said the situation is starting to move following talks with Donald Trump's envoy Steve Witkoff in Moscow, adding "let's see what comes of it".
In a continuation of his policy of flattery towards Trump, Putin said: "We know that the new administration headed by President Trump is doing everything to restore at least something of what was basically destroyed by the previous US administration."
Volodymyr Zelenskyy
Meanwhile, Ukraine's president said he sees a "good chance" to end the conflict with Russia, while also warning "we don't want to play games with war".
He repeated his call for pressure to be ramped up on Russia to force Putin into ending the war, adding "only decisive actions can end this war".
"Putin cannot exit this war because that would leave him with nothing," he said.
"That is why he is now doing everything he can to sabotage diplomacy by setting extremely difficult and unacceptable conditions right from the start, even before a ceasefire."
Zelenskyy also said Putin will not end the war on his own, adding "the strength of America is enough to make it happen".
Donald Trump
We also heard from Donald Trump, who said his team had "very good and productive discussions with President Vladimir Putin of Russia".
But he went on to refer to "surrounded" Ukrainian troops - probably in the Kursk region of Russia, where the Kremlin's forces have been advancing against Ukraine's forces.
Neither Trump nor Putin have provided evidence for their suggestions that large numbers of Ukrainian troops are encircled, a claim that various reports have indicated is not true.
Nevertheless, Trump called on Putin to "spare" the lives of the Ukrainian troops - something Russia's president said he would only do if Ukraine orders its forces to surrender.
Marco Rubio
Speaking from the G7 meeting in Canada this afternoon, the US secretary of state said: "I think there's reason to be cautiously optimistic."
But, he said, "we continue to recognise this is a difficult and complex situation".
He said there was a "positive interaction" between White House envoy Steve Witkoff and Putin, who met in Moscow yesterday, adding the team would examine the Russian position more closely once Witkoff returned.
Emmanuel Macron
The French president followed in the footsteps of Ukraine's allies and called on Russia to accept the proposal, saying "Russian aggression in Ukraine must end".
He also said there must be a stop to "delaying tactics" - something Vladimir Putin has been accused of after saying there were "nuances" and "lots of questions" over a deal, while listing a series of conditions for a ceasefire.