By Jana Choukeir

DUBAI, June 4 (Reuters) - Israel and Lebanon agreed to implement a new ceasefire after U.S.-mediated talks, the Trump administration said, raising hopes for progress toward ending the wider U.S.-Israeli war with Iran.

Tehran has made a ceasefire in Lebanon a condition for any peace deal with Washington, and has suggested in recent days that it could intervene directly in support of its proxy Hezbollah if Israel keeps up or escalates attacks there.