Ukraine has largely been driven out of Kurakhove, a battered but strategic town in the Donbas, Russia said. Kyiv’s forces were pressing a renewed offensive in southern Russia.

© Nicole Tung for The New York Times

Ukrainian forces’ assault was in the Russian region where they made a surprise incursion last summer.

© Nanna Heitmann for The New York Times

Foreign leaders have rushed to ingratiate themselves with Donald J. Trump in recent days, nervously recalling the clashes, insults and feuds of his first presidency.