Gaddafi has dispatched his special envoy to hold talks with the interim National Council based in Benghazi, Saudi-owned daily Asharq al-Aswat reported citing sources.
The longest-serving leader in the Arab world, however, has set numerous conditions.
The informed sources have told the paper that Gaddafi has demanded safe passage and full protection for all members of his family and the people within his inner circle.
Moreover, the opposition will have to facilitate any departure from Libya for Gaddafi and his associates wishing to leave the country.
Another one of the conditions is that the council does not hand over Gaddafi to the International Criminal Court (ICC), the report added.
The Libyan League For Human Rights says at least 6,000 people have been killed so far in Libya.
The UN Security Council has recently imposed sanctions on the Libyan regime and has referred Gaddafi to the International Criminal Court.
The developments come two days after the council held its first formal meeting to discuss the overthrow of Gaddafi.
The council earlier refused to enter talks with the regime unless Gaddafi leaves office.
The 30-member body was established in the eastern city of Benghazi by revolutionary forces following the liberation of several eastern cities.
The council, headed by Libya’s former justice minister Mustafa Abdel Jalil, plans to lead the country to an election.
He was among the first high-profile Libyan figures to defect from the Gaddafi regime following the brutal crackdown on opposition protesters\
Gaddafi is alone ,as even Confedante Leave him :
Galyna Kolotnytska arrived in Kiev early on Sunday morning on a Ukrainian defence ministry aircraft that evacuated 185 people from the country, Ukraine’s Segodnya newspaper reported.
Kolotnytska, 38, was described in US diplomatic cables released by WikiLeaks in December as a “voluptuous blonde”, one of Gaddafi’s closest confidantes and possibly his lover.
“Libyan protocol staff emphasised to multiple Emboffs [embassy officials] that Gaddafi cannot travel without Kolotnytska, as she alone ‘knows his routine’,” read the 2009 cable from Gene Cretz, the US ambassador to Libya. He reported rumours that Gaddafi and Kolotnytska, one of four Ukrainian nurses who serve him, might be romantically involved. Cretz was pulled from the country after the document’s release.
Kolotnytska was calm before leaving Tripoli according to her daughter Tatyana, who told Segodnya: “She spoke in a calm voice, and asked that we don’t worry, that she would be home soon.”
Segodnya released a photograph of the nurse, showing a smiling rosy-cheeked woman, her shoulder-length blonde hair held back by sunglasses.
The daughter said her mother had spent nine years in Libya as one of several Ukrainian nurses serving Gaddafi. “For some reason, he doesn’t trust Libyan women with that,” she said.
The WikiLeaks cable provided further insight into Gaddafi’s eccentricities. In addition to revealing Kolotnytska’s existence, it discussed his fear of staying on upper floors, dislike of flying over water and love of flamenco.
Several diplomats and high-ranking officials have already split from Gaddafi, whose violent crackdown on protesters has left at least 1,000 dead and prompted thousands more to flee.