At an Alaska summit, Trump said Putin would freeze front lines in Kherson and Zaporizhia if Ukraine gave up Donetsk and Luhansk.
Zelenskyy rejected the proposal but accepted an invitation to meet Trump in Washington.
European leaders vowed to keep sanctioning Russia and called for security guarantees and a ceasefire.
Fighting continued as Ukraine shot down dozens of Russian drones and pushed forces back, while Russia seized new positions and launched attacks.
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