US special envoy Amos Hochstein is due to arrive in Lebanon on Tuesday to discuss the proposal, according to the LBCI site.
The key point concerns the establishment of a committee to oversee the implementation of UN Resolution 1701. Berri added that the wording in the agreement is not acceptable to Lebanon.
Any effort to reach a ceasefire would need a green light from Hezbollah, which has ministers in Lebanon's cabinet and whose members and allies hold a significant number of seats in parliament.
Hezbollah agrees to withdraw beyond Litani River as US pushes for pre-election deal, but Israeli officials remain skeptical
The latest diplomatic push comes amid efforts to halt hostilities between Israel and Hezbollah.
The main points attributed to this draft outline that from the moment of signing, UN Resolution 1701 will be recognized and brought into full effect.
US special envoy Amos Hochstein stressed the importance of not tying the IDF-Hezbollah war to other conflicts in the region, alluding to the larger Israeli-Iranian one, or the Israel-Hamas war.
Prime Minister Netanyahu emphasized Israel's right to act militarily against Hezbollah if diplomatic efforts fail to ensure security.
Sources have told the Jerusalem Post that this time a major operation could be very real
Amos Hochstein is expected to meet Israeli leaders in a push to find a diplomatic solution to the IDF-Hezbollah conflict.
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