The Syrian government and rebel fighters on Saturday accused each other of violating the truce agreement.
The terms of the truce make it easier to reverse policy when the time comes.
Since then, each side has blamed the other for breaking the terms of the truce.
Rebel spokesman Eric Massi described the truce as "a good deal to bring peace".
Another analyst said the truce "is a start, " but much more needs to be done.
After the truce, Mr Banzer shuffled his cabinet to give his government a fresh look.
The longer the delay in beginning the truce, the more worrisome the situation becomes.
The truce was delayed Monday because of a lack of gas supplies into Sarajevo.
But thanks to the truce between the two companies, I was able to transcribe my notes eventually.
Since then, a simmering stalemate has prevailed and both sides have reported sporadic breaches of the truce.
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They added that Hamas, which governs Gaza, was trying to convince small militant groups to keep to the truce.
The truce has largely upheld since then, despite several incidents of cross-border fire.
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The truce will run from Tuesday until 20 January, negotiator Ivan Marquez said.
But since its declaration on June 29th, the truce has led to a dramatic fall in the level of violence.
Peres said the contacts are aimed at preventing misunderstandings, promoting the cease-fire, and dealing with violations of the truce, Peres said.
According to Kruger, the campaigns have generated 2, 100 calls to the Truce hotline and approximately 34, 000 hits on its Web site.
If the truce ends, "the success of the surge is going to be hugely in doubt, " said CNN International correspondent Michael Holmes.
If Israel had ended the blockade, Hamas may have renewed the truce.
Both have used the truce to prepare for a resumption of fighting.
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It says that since the truce came into effect a total of nine rockets and mortars have hit and two have been intercepted.
In theory, the Truce starts seven days before the Olympic games begins and ceases seven days after the close of the Paralympic Games.
One of the main rebel groups fighting in the Niger Delta has called off its unilateral ceasefire, just weeks after announcing the truce.
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But shortly before the truce was made public, 30 top gang leaders were transferred from maximum-security prisons to others with benefits like family visits.
After all, it was rogue elements in al-Aqsa, rather than in tighter-controlled Hamas, that have so far been responsible for the cracks in the truce.
PA's police forces gingerly tried to arrange a ceasefire in Gaza along the lines of the truce that has more or less held in Bethlehem.
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Macedonian Defence Minister Vlado Buckovski warned the rebel National Liberation Army to withdraw from ground it has taken during the truce or face an all-out attack.
Tahir Annono, who is in Cairo for the truce meetings, said there would be meetings Friday and Saturday, and on Sunday an announcement would be made.
Baroness Rawlings, replying for the government, said the UK would call for a fresh UN resolution calling for observance of the Truce for the 2012 Games.
He pointed out how violations of the truce were extremely rare in ancient times, whereas in recent years the games have been cancelled three times due to war.
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