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."
هذه القصة مأخوذة من طبعة September 29, 2024 من The Straits Times.
ابدأ النسخة التجريبية المجانية من Magzter GOLD لمدة 7 أيام للوصول إلى آلاف القصص المتميزة المنسقة وأكثر من 9,000 مجلة وصحيفة.
بالفعل مشترك ? تسجيل الدخول
هذه القصة مأخوذة من طبعة September 29, 2024 من The Straits Times.
ابدأ النسخة التجريبية المجانية من Magzter GOLD لمدة 7 أيام للوصول إلى آلاف القصص المتميزة المنسقة وأكثر من 9,000 مجلة وصحيفة.
بالفعل مشترك? تسجيل الدخول
On social media
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Playground for Birds and Squirrels
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Taiwanese singer Vivian Hsu caught in Bukit Timah flash floods
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The writer visited Zambia, Alaska, Sicily and Venice to venture beyond her comfort zone
Usher in New Year in Japan like a local
Eat traditional food, visit a shrine and see the Japanese imperial family
New destinations for the new year
Up-and-coming places include Yunnan, Okinawa, Saudi Arabia and Tanzania
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Be Bold Against The Old
Ogura dares younger Lions to stop being 'too nice' and fight for playing time
