By Marine Pennetier

PARIS (Reuters) - Libyan eastern commander Khalifa Haftar, speaking on Wednesday with French President Emmanuel Macron, ruled out a ceasefire and said he wanted to rid the capital of militias that had "infested" the U.N.-backed government, a French presidential official said.

The flare-up in the conflict in Libya - which has been gripped by anarchy since Muammar Gaddafi was toppled in 2011 - began in early April, when Haftar's Libyan National Army advanced on the capital Tripoli. The LNA is now bogged down in southern suburbs by fighters loyal to Prime Minister Fayez al-Serraj's Government of National Accord (GNA).

Macron and French officials have for weeks repeated their official support for the GNA and have called for an unconditional ceasefire. But some European countries, including France, have also supported Haftar as a way to fight Islamist militants in the country.

"The distrust we see between the Libyan actors is stronger than ever today," said the official after the meeting between Macron and Haftar in Paris.

"When the question of the ceasefire was put on the table, Haftar's reaction to this was to ask: 'negotiate with whom for a ceasefire today?'" the official said.

The battle for Tripoli has killed at least 510 people, forced 75,000 out of their homes, trapped thousands of migrants in detention centers, and flattened some southern suburbs. It has also forced closures of schools, split families on different sides of the front line, and brought power cuts.

"He (Haftar) considers that the GNA is completely infested by militias and it is not for him to negotiate with representatives of these militias," the official said.

The official said Macron had asked Haftar to make a public step toward a ceasefire and Haftar responded by saying that an inclusive political dialogue was necessary and he would be ready for it if the conditions for a ceasefire were in place.

However, the official said Haftar had given no indication as to when he would be ready for any potential talks.

Speaking on Euronews television on Wednesday, Serraj also appeared to rule out a ceasefire, warning that the fighting would not stop until Haftar's troops had pulled back east.

The United Nations' Libya envoy, Ghassan Salame, said on Tuesday the current fighting could be the start of a long and bloody conflict in the country that could permanently divide it.

"We can clearly see the impasse that exists today between the desire of the international community to say that there must be a ceasefire and a resumption of political discussions and the way in which Haftar sees things with his explanation of the lack of legitimacy of the interlocutors (on the other side)," the French official said.

The official also said Haftar had rejected suggestions he or forces loyal to him were benefiting from oil sales in the east of the country.

(Additional reporting by Ulf Laessing in Tunis; Writing by John Irish; Editing by Frances Kerry)