That was later corroborated by the press secretary to Ukraine’s public ombudsman, and by Oleksandr Tolokonnikov, deputy head of Kherson, who said Russian shelling had stopped both in Kherson city, which is in Ukrainian hands, and the wider region.
Under the deal, the ceasefire will be followed by deliveries of humanitarian aid to Oleshky and then evacuations, planned for Friday, for anyone wishing to leave.
An estimated 1,700 to 2,000 people remain in Oleshky itself and a few thousand more in surrounding areas.
Many residents have resorted to cooking garden weeds to survive, telling the BBC they are suffering extreme hunger and want to leave.
Both sides said the ceasefire was being observed. Kremlin spokesman Dmitry Peskov said everything was proceeding “according to plan”, and paid tribute to US mediation and in particular representatives of Melania Trump.
Ukrainian Foreign Minister Andrii Sybiha said if the ceasefire produced results, it could “pave the way for other steps in the peace process”.
A key official in President Volodymyr Zelensky’s parliamentary party, David Arakhamia, said it would continue until 22:59 Ukrainian time on Sunday 1 November, and described the truce as the “largest de-escalation since 2022”.