Medical facilities reported 47 people killed and 181 wounded in recent days as eastern Libyan National Army (LNA) forces seek to take Tripoli from an internationally-recognized government, the World Health Organisation said.
The United Nations said 2,800 people had been displaced by clashes and many more could flee, though some were trapped.
The forces of the Libyan Government of National Accord have regained Tripoli International Airport after defeating the forces of the retired Libyan Major General Khalifa that launched an attack on the capital Tripoli.
The same official said militias from the coastal towns of Misrata and Zawia - which are not under the GNA's direct control - deployed troops to the capital as part of the counter-offensive against the LNA.
Maj. Gen. Mohamed al-Manfour of Hifter's Libyan National Army, told the Libyan Address newspaper they bombed targets at Mitiga after receiving information that the United Nations -backed government forces were preparing to target them.
"Refugees told UNHCR that they were frightened and anxious about their safety, given ongoing fighting in the vicinity, and that they were left with minimal supplies", the statement said, adding the agency was working to ensure other detained migrants and refugees were not in harm's way.
When President Emmanuel Macron named Le Drian his foreign minister, Paris increased support for Haftar, in close alignment with Egypt and the United Arab Emirates, which see him as a bulwark against Islamists and have supported him militarily, according to U.N. reports.
"I would interpret Mr Salame's statement.as a shifting (of) dates and I think as reaffirming his commitment to hold the conference", United Nations spokesman Stephane Dujarric told reporters in NY.
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"The upsurge in violence is further increasing the misery of refugees and migrants arbitrarily detained in detention centers in areas of active conflict", she said.
Since Thursday, clashes have broken out in a number of areas on the outskirts of Tripoli, including at the disused worldwide airport on the city's southern edge. The Tripoli based health ministry, on the government side, said at least 25 people including fighters and civilians had been killed and 80 wounded in fighting to the south of the capital.
Two doctors were also among those killed.
On Sunday, April 7, Russian Federation blocked proposals for the council to adopt a formal statement, instead insisting that all Libyan forces be urged to stop fighting, diplomats said.
Michelle Bachelet said all parties to the conflict must make every effort to protect civilians. Targeted attacks on health services were a violation of global law, the organisation said.
Fierce clashes Sunday near Tripoli saw Haftar's fighters and other powerful western Libyan armed groups exchanging fire including air strikes.