Governments around the world have condemned attacks on Libyan civilians.
Speaking at a UN human rights conference in Geneva, Russian Foreign Minister Sergey Lavrov said the violence should cease immediately.
Tens of thousands of migrants - many from Egypt - are stranded near Libya's Tunisian border, UN officials say.
And reports from the coastal town of Misrata say opponents of Libyan leader Muammar Gaddafi have repelled a government counter-attack.
Witnesses said fighting had been taking place around the town, 200km east of Tripoli, and its airport.
Correspondents say there is an uneasy stalemate in Libya, with leader Muammar Gaddafi still very much in control in Tripoli.
The US has publicly backed anti-Gaddafi groups in eastern Libya.
Speaking on her way to the meeting, US Secretary of State Hillary Clinton said Washington was "reaching out to many different Libyans in the east". BBC News
