Donald Trump has said he would prefer a permanent peace agreement to end the Russia-Ukraine war over a temporary ceasefire.
Writing on Truth Social after leaving a meeting with Russian leader Vladimir Putin in Alaska without reaching any deal, the US president said that ceasefires "often times do not hold up".
Trump had earlier said that "great progress" was made during the meeting but "we didnt get there" when it came to a deal.
On his flight back to Washington, he held a call with Ukrainian President Volodymyr Zelensky, who later said he would travel to Washington DC on Monday.
Trump said it had been "a great and very successful day in Alaska" after arriving back in Washington.
He added that the meeting with Putin had gone "very well", as had phone calls with Zelensky, European leaders and Nato Secretary-General Mark Rutte.
"It was determined by all that the best way to end the horrific war between Russia and Ukraine is to go directly to a peace agreement, which would end the war, and not a mere ceasefire agreement, which often times do not hold up," he wrote.
"If all works out" with Zelensky on Monday "we will then schedule a meeting with President Putin", Trump added.
Zelensky said that a "real peace must be achieved, one that will be lasting, not just another pause between Russian invasions".
Putin and Trumps arrival at Joint Base Elmendorf-Richardson in Anchorage was carefully choreographed.
The Russian president, who is facing an International Criminal Court arrest warrant for alleged war crimes in Ukraine, stepped off his jet and onto a red carpet to be warmly received by Trump.
Over the roar of a B2 bomber overhead, the two leaders posed for photos before climbing in Trumps presidential vehicle, known as The Beast.
But despite the pageantry and public shows of geniality - as well as the Kremlins earlier estimate that the meeting could last six or seven hours - Trump and Putin emerged less than three hours later with just a joint statement to the press.
Putin said that, in order to make a "settlement lasting and long-term, we need to eliminate the root causes of the conflict" in Ukraine.
The phrasing indicated that Putin has not budged from his longstanding position that Ukraine should withdraw from four regions partially occupied by Russia - Donetsk, Luhansk, Kherson and Zaporizhzhia - and give up its efforts to join Nato.
Zelensky has ruled out ceding territory, saying it would embolden Russia to invade again in the future, as it had in 2022 eight years after illegally annexing Crimea.
Putin also urged Ukrainians and Europeans to "not throw a wrench" into the peace process. Trump remained silent as his guest spent about eight minutes addressing the media.
After being given the floor, the US president said he had a "fantastic relationship with President Putin. Vladimir."
Even though "many points were agreed", he said, "a few" remain, adding that "one is the most significant" - without specifying. Neither took questions.
The two also did not attend the planned bilateral "working lunch" that was set to follow the talks.
Trumps follow-up interview on Fox News offered little else.
The meeting went "very well", Trump told host Sean Hannity, adding "maybe well have a good result".
Heading into the Alaska meeting, Trump had threatened "very severe consequences" if his Russian counterpart did not agree to end the war.
In July, he said he would impose 100% secondary tariffs targeting Russias remaining trade partners if a peace deal was not reached within 50 days.
But questioned on Fox on those threats, Trump said: "We dont have to think about it today. Maybe in two weeks, three weeks."
Asked about a possible trilateral summit including Zelensky, Trump said: "They both want me there and Ill be there," without giving a date or location for meeting.
Zelensky and Trump had a lengthy call on the flight back to Washington, before other Nato leaders including UK Prime Minister Sir Keir Starmer joined the conversation.
Zelensky said he supported Trumps proposal for a trilateral meeting and that sanctions against Russia should be strengthened if Moscow "tries to evade an honest end to the war".
"All issues important to Ukraine must be discussed with Ukraines participation, and no issue, particularly territorial ones, can be decided without Ukraine," he added.
He noted "positive signals from the American side regarding participation in guaranteeing Ukraines security" - something European allies have called for as part of a combined effort to prevent another conflict.
Mondays meeting at the White House will be Zelenskys first since he was hectored by Trump and his vice-president, JD Vance, in an explosive meeting in February.
They appeared to reconcile at Pope Franciss funeral in April, in what the White House described as a "very productive"15-minute meeting.