President Donald Trump says Ukraine and Russia are “closer than ever before” to a peace deal, even as Russia launched another round of attacks on Ukraine while Ukrainian President Volodomyr Zelenskyy flew to the United States.

Russia attacked Kyiv a day before peace talks between the leaders of Ukraine and the United States.

The revised peace plan, which emerged from weeks of intense US-Ukraine negotiations, would stop the war along its current front lines and could require Ukraine to pull troops back from the east, allow...