BBC World News

1. Trump warns Taiwan against declaring independence, hours after summit with China's Xi

   The US president says he wants Beijing and Taipei to "cool down" tensions over the self-governing island.

2. Trump and Xi conclude 'very successful' talks but no deals confirmed

   There were plenty of choreographed ceremonies but no trade breakthroughs after the two-day visit.

3. Israel and Lebanon agree to extend ceasefire, US state department says

   President Trump announced the truce last month, but Israel and Hezbollah have continued to exchange fire since then.

4. Prisoner swap goes ahead as Kyiv mourns 24 killed in Russian strike on flats

   Among the victims in Kyiv was 12-year-old Lyubava Yakovleva, whose father was killed during the war.

5. AI vigilante trap snares alleged paedophile ex-teacher in France

   The 66-year-old handed himself in after an influencer used AI to pose as a 14-year-old girl and broadcast their conversation online.