At the end of the Baabda meeting, Hariri said: "Our direction is to always have a unified position from any Israeli aggression against Lebanon".
The leaders have reviewed the challenges and discussed the visit of Assistant U.S. Secretary of State for Middle East Affairs David Satterfield to Lebanon.
The southern part of Block 9 lies in waters disputed by neighbouring Israel, but Total comments that less than eight per cent of the block's surface is affected.
"This issue will represent the main topic of discussions between Tillerson and the Lebanese leaders", the USA official added.
Lebanon's top officials held intense talks on Monday ahead of US Secretary of State Rex Tillerson's scheduled visit to Beirut later this week amid tensions with Israel over offshore energy exploration and its construction of a border wall in the South.
They explained that the Lebanese decision regarding the dispute with Israel will be finalized after carefully studying the suggestions carried by Tillerson during his talks in Lebanon.
Total-led worldwide consortium (Total 40%, ENI 40%, Novatek 20%) and the government of Lebanon have signed two Exploration and Production Agreements covering Blocks 4 and 9 located offshore Lebanon, in the eastern part of the Mediterranean Sea.
Despite reports of concerns that the Rome II conference to support Lebanon's security agencies was in danger of being postponed, the official date was set Monday.
"We try to be very precise in the actions we take to not harm the Lebanese people", he said during an interview with Al Hurra TV. Prior to that, Israel had intercepted an Iranian drone which led to their jets hitting targets across Syria's territory.