The U.S. special envoy to Lebanon said Monday that his team would discuss the long-term cessation of hostilities with Israel, after Beirut endorsed a U.S.-backed plan for the Hezbollah militant group to disarm.
Tom Barrack, following a meeting with Lebanese President Joseph Aoun, also said Washington would seek an economic proposal for post-war reconstruction in the country, after months of shuttle diplomacy between the U.S. and Lebanon.
Israel and Lebanon actually signed a diplomatic agreement in 1982.
https://www.nytimes.com/1983/05/18/world/israel-and-lebanon-sign-agreement-at-2-ceremonies.html
As part of the agreement, Israel would withdraw its troops from the country. Lebanon would prevent attacks from southern Lebanon.
The agreement was cancelled after violent riots encouraged by Hafez El Assad.