The meeting between the two men at Trump Tower in Manhattan was their first in-person encounter since 2019.
Mr Zelensky said he was talking with both Trump and his Democratic rival in the Nov 5 election, Vice-President Kamala Harris, because Ukraine needed strong US support in its continuing war with Russia.
Trump praised Mr Zelensky, but said he also had a solid relationship with Russian President Vladimir Putin.
"We have a very good relationship (with Mr Zelensky), and I also have a very good relationship, as you know, with President Putin," Trump told reporters.
"And I think if we win, I think we're going to get it resolved very quickly," he added.
Mr Zelensky has used his US visit to promote his "victory plan", which a US official described as a repackaged request for more weapons and a lifting of restrictions on the use of long-range missiles.
The plan presupposes the ultimate defeat of Russia in the war, the official said. Some officials see the aim as unrealistic.
When asked on Sept 26 by a reporter if Ukraine should hand over some of the Ukrainian land Russia has captured to end the war - a non-starter for Kyiv - Trump replied: "We'll see what happens."
This story is from the September 29, 2024 edition of The Straits Times.
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This story is from the September 29, 2024 edition of The Straits Times.
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