US diplomatic pressure for direct talks between Israeli Prime Minister Benjamin Netanyahu and Lebanese President Joseph Aoun continues amid a fragile ceasefire in southern Lebanon, extended multiple times since April but marred by mutual accusations of violations including Israeli strikes and Lebanese army reports of incursions. Aoun has repeatedly rebuffed overtures, most recently on May 11 insisting on a permanent truce, full IDF withdrawal south of the Litani River, and a security agreement before any conversation, citing domestic opposition from Hezbollah which views such engagement as collaboration. Trump administration officials, including calls from Secretary Rubio and embassy statements, push for a White House summit to advance negotiations on Hezbollah disarmament and border security, though no direct Netanyahu-Aoun contact has occurred as of May 13, leaving trader consensus hinging on whether US leverage overcomes Lebanese preconditions amid ongoing escalations.