On Saturday, the Tripoli-based Interior Minister of the Presidential Council's government Fathi Bashagha accused the United Arab Emirates (UAE) of reportedly sending Haftar military support in "clear violation of the worldwide law".
For years, Libya has been split between two governments: the eastern part of the country is controlled by the parliament elected in 2014 and backed by the Libyan National Army (LNA) headed by Field Marshal Khalifa Haftar, while the UN-backed Tripoli-based Government of National Accord (GNA) governs Libya's western parts.
"President Sisi stressed Egypt's support for the efforts of counter-terrorism and fighting the extremist groups and militants to achieve security and stability in Libya", Egyptian presidential spokesman Bassam Rady said in the statement.
The presidency released photos showing Haftar, dressed in a blue suit, sitting with Sisi and his head of intelligence Abbas Kamel.
The Libyan commander has modeled his political style of authoritarian leadership after Sissi, himself an army general turned president.
Egypt has provided funding and arms to his Libyan National Army, seeing him as a bulwark against Islamist militants. He was referring to eastern officials allied to the Tripoli government.
Egypt has in the past blamed Libyan-based militants for a series of cross-border attacks against its security forces and minority Christians traveling to remote desert monasteries.
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But Fayez al-Serraj's National Accord government has managed to halt the advance for now, aided by forces with machine-guns on pickups and steel containers across the road into Tripoli.
His move is the latest in a cycle of conflict and anarchy since the 2011 toppling of former dictator Muammar Gaddafi.
As well as fighting on the ground, the two sides have launched daily air raids and accuse each other of targeting civilians.
"The humanitarian community is concerned about rising numbers of civilian casualties, including medical personnel", OCHA Libya said.
The World Health Organization said 121 people have been killed in the fighting and another 561 have been wounded.
More than 13,500 people had been displaced by the clashes, while more than 900 residents are living in shelters, according to the UN's office for humanitarian affairs, or OCHA.
The UN said on Sunday that a school was bombed in Ain Zara southwest of Tripoli, without saying who was responsible.