JERUSALEM/BEIRUT, June 24 (Reuters) - Talks between Israel and Lebanon include discussion of a U.S.-backed proposal for Israeli forces to hand over some of the territory they have invaded during the war with Hezbollah to the Lebanese military, according to Israeli and Lebanese officials. The Israeli officials said the Lebanese troops involved would undergo U.S. training and vetting to ensure they are not linked to Iran-backed Hezbollah, while Israel would maintain a military presence in a buffer zone along the border.