The French ambassador said that he hoped the resolution would be passed before the end of the week.
Later, French President Jacques Chirac was reportedly gathered with key ministers in southern France to discuss French efforts to win support for a UN ceasefire resolution.
Mr Chirac broke off his vacation at a nearby presidential retreat to chair the meeting, attended by Prime Minister Dominique de Villepin, Defence Minister Michele Alliot-Marie and Foreign Minister Philippe Douste-Blazy.
One Elysee official said France intended to "use all its weight to try to get things moving."
The changes follow an appeal by an Arab League delegation calling on the United Nations Security Council to order Israeli forces to withdraw from Lebanese territory as part of any UN resolution on a truce deal.
Siniora letter
Later, David Welch, the US State Department's top Middle East envoy, arrived in Beirut on a surprise visit and was holding talks with Prime Minister Fuad Siniora, officials said.
Mr Welch was meeting Siniora accompanied by the US ambassador to Lebanon Jeffrey Feltman, they said.
Meanwhile in a letter published in the Washington Post, Lebanese Prime Minister Fuad Siniora has called on the UN to end the fighting in Lebanon, which he implicitly blamed on Israel without mentioning its enemy, Hezbollah.
Mr Siniora pushed his seven-point plan to end the war presented July 25, to which he added his latest proposal to deploy the Lebanese military in southern Lebanon.
"I believe that a political resolution rooted in international law and
based on these seven points will lead to long-term stability," said the prime minister.
He called a military solution to "Israel's savage war on Lebanon ...
morally unacceptable and totally unrealistic," and called on the international community to "end this folly now."
UN meeting
Earlier at the special UN Security Council meeting, Qatar's Foreign Minister, Sheikh Hamad bin Jassem al-Thani, said an Israeli withdrawal had to be a key part of any "just, comprehensive peace" with Hezbollah.
The minister said any UN resolution should call for "an immediate and comprehensive ceasefire and withdrawal of Israeli forces behind the Blue Line" - the unofficial frontier between Israel and Lebanon.
It should also call for the "bolstering of the UN Interim Force – an increase of the force strength and materiel and the expansion of its mandate so as to allow it to play the role entrusted to it."
France and the United States have proposed a draft UN resolution that does not call for an Israeli withdrawal.
The Arab League delegation warned the Security Council there would be civil war in Lebanon if Israel's troops did not leave Lebanon after any halt to the fighting.
"It is most saddening that this council stands idly by, crippled and unable to stop the bloodbath, which has become the bitter daily lot of the unarmed Lebanese people," Qatar's foreign minister said.
"If we adopt a resolution without fully considering the reality of Lebanon we will face a civil war and, instead of helping Lebanon, we will destroyLebanon," he said.
He said the current French-US proposition, which calls for a "full cessation of hostilities" but no Israeli withdrawal, was unenforceable and would have "grave ramifications for Lebanon and all the countries in the region."
Israel responds
In response to the speech, Israel's UN envoy, Dan Gillerman, called for effective action to restrain what he called Hezbollah "terrorists".
Without responding to the call for an Israeli withdrawal, he said there had to be a "strong, robust and effective international force" in Lebanon that can counter Hezbollah.
Mr Gillerman also said there had to be international action to stop Syria and Iran supplying arms to Hezbollah. The envoy called the radical governments "the merchants of terror in Damascus and Tehran".
The Arab objections to the French-US draft text and problems raised by Russia have held up any vote on a resolution, despite mounting international calls for a ceasefire.
The Russian government said that the Security Council should urgently pass a resolution calling for a "humanitarian ceasefire" if a plan could not be quickly agreed.
The US and French ambassadors to the United Nations have held new talks on the draft resolution.
They say they will consider changing the draft and the talks have been made more urgent by a Lebanese government offer to deploy 15,000 troops in southern Lebanon if Israeli forces withdraw.
Israel has called the proposal "interesting".
The French-US draft currently "calls for a full cessation of hostilities based upon, in particular, the immediate cessation by Hezbollah of all attacks and the immediate cessation by Israel of all offensive military operations."
It also sets out conditions for an international force to be sent to
Lebanon, but a second resolution will be needed to set out a mandate, which could delay the deployment of any force.
Russia reluctant
Russia’s UN envoy says his country cannot support a Security Council resolution on the conflict that is opposed by Lebanon.
"For us, of course, a draft that is useless to the Lebanese side must not be adopted since it will only lead to the continuation of the conflict," Vitaly Churkin told the Russian news channel Vesti-24.
"There are now intensive efforts ... being made to try and come up with a draft resolution that is more acceptable to the Lebanese government. It's hard for me to say when this will happen, since the Israeli side has to agree," he said.
However, a diplomatic source said that there was no question yet of a veto of any resolution.