By Alexander Cornwell and Laila Bassam JERUSALEM/BEIRUT, April 14 (Reuters) - Israeli and Lebanese envoys will meet ⁠in ⁠Washington on Tuesday as Israel presses its war ⁠on Hezbollah, a diplomatic milestone overshadowed by conflicting agendas with Israel ruling out a ceasefire and demanding Beirut ​disarm the Iran-backed group.

Israeli and Lebanese envoys met in Washington on Tuesday as Israel pressed its war on Hezbollah, a diplomatic milestone overshadowed by conflicting agendas with Israel ruling out discussion of a ceasefire and demanding Beirut disarm the group.

Lebanon and Israel were holding their first direct talks in decades as fighting between Israel and Hezbollah militants rocks southern Lebanon. U.S. Secretary of State Marco Rubio joined the Israeli and Lebanese ambassadors for Tuesday's meeting in Washington.

Secretary of State Marco Rubio mediates the first direct diplomatic negotiations between Israeli and Lebanese envoys in decades as the U.S. brokers a high-stakes ceasefire and regional security agreement.

Secretary of State Marco Rubio hosted the Israeli and Lebanese ambassadors to Washington for a two-hour meeting on Tuesday, during which they agreed to hold further direct talks on a peace agreement.

Israeli and Lebanese officials met in Washington, D.C., on Tuesday for their first direct diplomatic discussions in more than three decades. CBS News intelligence and national security reporter Olivia Gazis has more.

Lebanon and Israel have held their first direct diplomatic talks in over three decades, a rare encounter aimed at ending fighting between Israel and the Iran-backed Hezbollah group. No immediate outcome was expected from the discussion,

The talks will take place amid fighting between Israel and Hezbollah and an Israeli ground invasion in southern Lebanon.