US-Iran Talks Progress Stalls After Hezbollah Rejects Truce Bloomberg Markets By: Omar Tamo Β· Eric Martin Β· Josh Wingrove 4 June 2026 at 16:11 There was no sign of progress in ceasefire talks between the US and Iran after the worst burst of violence in weeks and as the Tehran-backed Hezbollah militia rejected on Thursday a US-brokered truce in Lebanon.