"Good progress has been made on both fronts," Cameron said.
Calling intervention in Libya a "coalition of the willing," Cameron said Britain wants "to internationalize this to the maximum degree possible" and outlined commitments from other nations.
While no Arab planes have flown in the mission, Cameron said the Qataris are providing a number of jets to help enforce the no-fly zone and the UK is doing everything it can to encourage other Arab nations to come forward.
Cameron declined to say whether Gadhafi was himself a potential target of the airstrikes.
Support from the Arab League was critical to obtaining UN approval for international action to protect Libyan civilians. But after the international operation began, the league chief Amr Moussa was quoted as telling reporters in Cairo that it should not have included attacks on Libyan targets on the ground.
EU foreign policy chief Catherine Ashton said Monday that Moussa had been misquoted, but German Foreign Minister Guido Westerwelle offered the comments as evidence that Germany's decision not to participate in the operation was justified.
"This does not mean that we are neutral," Westerwelle said. "This does not mean that we have any sympathy with the dictator Gadhafi. It means that we see the risks, and when we listen closely to what the Arab League yesterday said."
Westerwelle said Germany would focus on broadening economic and financial sanctions against the Gadhafi regime.
On Monday, the EU extended its travel ban and the freeze on assets to another 11 Libyan officials and its assets freeze to a further nine Libyan companies. It did not name the people or the companies involved.
And in France, diplomats were hosting members of Libya's opposition for talks in Paris. Foreign ministry spokesman Bernard Valero noted France has had regular contacts with Libya's transitional national council - a top opposition group.
Analysts said Turkey does not completely oppose military action, but wants to promote its role as a broker for peace in Libya.
"Turkey with its Muslim identity is emerging as a peace-builder and prefers reducing of the presence of foreigners and its policies might differ from those of Europe or the United States," said Ilter Turan, a professor of political science at Istanbul's Bilgi University.
Turkey has vast business interests in Libya, most notably in the construction sector, and had relatively friendly ties with Gadhafi. More than 30,000 Turks were working in Libya before the uprising against Gadhafi's 42-year rule began last month.
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