Libyan Deputy Foreign Minister Abdelati Obeidi has told the Greek Prime Minister that Libya wants a solution to the current crisis and wants the fighting to stop.
Mr Obeidi told the Greek Prime Minister he will next travel to Malta and Turkey.
Abdelati Obeidi had crossed from Libya into neighbouring Tunisia and from there flew to the Greek capital.
Last week Libyan Foreign Minister Moussa Koussa crossed into Tunisia and then flew from Djerba airport to southern England. The British government had said he had defected.
Britain sent a team of diplomats to Libya yesterday to meet with rebel leaders in the eastern town of Benghazi.
The delegation arrived yesterday and is headed up by Christopher Prentice, Britain's ambassador to Rome who also has served as the top British diplomat in Baghdad.
'It will build on the work of the previous team and seek to establish further information about the Interim National Council, its aims and more broadly what is happening in Libya,' the Foreign and Commonwealth Office said in a statement.
A team of British diplomats, which was reported to have included special forces soldiers, was captured by rebels in Benghazi in early March before being released and returned to Britain.
Meanwhile, forces loyal to Muammar Gaddafi have shelled a building in Misrata to try to dislodge rebels from their last big stronghold in western Libya.
Misrata rejected Gaddafi's rule in a revolt in February but it has been virtually cut off from the rest of the country since then.
Gaddafi's forces have restored control in most places in western Libya, leaving Misrata residents trapped and surrounded, with dwindling supplies.
The shells hit a building that was previously being used to treat the wounded from the fighting in Libya's third largest city.
At least one person has been killed and several others wounded in today's attack.
'We have one confirmed dead and we don't know how many wounded. The ambulances are arriving now, bringing the wounded,' said a resident in the town.
After weeks of shelling and encirclement, government forces appear to be gradually loosening the rebels' hold there, despite Western air strikes on pro-Gaddafi targets.
The rebels say they still control the city centre and the sea port, but Gaddafi's forces have pushed into the centre along the main thoroughfare.
A doctor who gave his name as Ramadan told Reuters by telephone from the city that 160 people, mostly civilians, had been killed in fighting in Misrata over the past seven days.
Ramadan, a British-based doctor who said he arrived in Misrata three days ago on a humanitarian mission, had no figure for the total toll since fighting began six weeks ago.
'But every week between 100 or 140 people are reported killed - multiply this by six and our estimates are 600 to 1,000 deaths since the fighting started,' he said.
One Benghazi-based rebel said food supplies are running low in Misrata.
'There are severe food shortages and we call on humanitarian organisations to help,' said the rebel called Sami.
Accounts from Misrata cannot be independently verified because the Libyan authorities are not allowing journalists to report freely from the city, which is 200km east of Tripoli.
Gaddafi's tanks also bombarded the town of Zintan, which is about 160km southwest of Tripoli.
Elsewhere, rebels are trying to halt an advance by Gaddafi’s forces in the east of the country.
The rebels have lost territory they gained last week and are now retreating back to Ajdabiya.
