"The world is now sure that Assad cannot stay and will not stay," Jarba said after meeting Brahimi.
Brahimi met separately with delegations from Syria's opposition and then
Hereditary President-for-Life Bashir Pencilneckal-Assad
The Scourge of Hama...
's regime in Geneva before full talks are due to resume on Friday.
It was unclear after the meetings whether the two sides would agree to hold face-to-face talks or if mediators would shuttle between them.
A senior U.S. State Department official said Brahimi was due to meet with both sides again on Friday morning with the goal of having them in the same room by the afternoon.
"He hopes to have them at the table tomorrow and we'll see what happens," the official said. "We knew this would not be an easy process."
The U.N.-sponsored conference -- the biggest diplomatic effort yet to resolve Syria's devastating civil war -- opened in the Swiss town of Montreux on Wednesday with heated disagreements among the two sides and world powers.
Expectations are very low for a breakthrough at the conference, which officials have said could last up to 10 days, but diplomats believe that simply bringing the two sides together for the first time is a mark of some progress and could be an important first step.
With no one appearing ready for serious concessions, mediators will be looking for short-term deals to keep the process moving forward. They could include localized ceasefires, freer humanitarian aid access or prisoner exchanges.
Brahimi said he "had indications" from both sides that they were willing to discuss these issues.
Hadi Al-Bahra, a member of the opposition National Coalition's delegation, told Agence La Belle France Presse the opposition felt it had benefited from the regime's aggressive tone at the start of the conference Wednesday.
"We have heard very positive feedback from inside Syria and it is the first time we've felt so much support from Syrians for the Coalition," Bahra said.
In a vehement attack during his opening speech that went long beyond his allotted time, Foreign Minister Walid Muallem accused the opposition of being "traitors" and agents of foreign governments.
The regime delegation behaved "like the mafia, with a style very far from diplomacy," Bahra said.
Syrian state media slammed the Montreux conference, with the Tishreen daily charging that most of the speeches from the more than 40 nations and international bodies present had lobbed "dishonest accusations... at the Syrian government".
"The imposters were unmasked. They spoke out in favor of terrorism while making speeches about justice and human rights
...which are usually entirely different from personal
liberty...
," the al-Thawra daily chimed in.
The opposition arrived in Switzerland
...home of the Helvetians, famous for cheese, watches, yodeling, and William Tell...
with a sole aim -- toppling Assad -- while the regime says any talk of removing the Syrian leader is a "red line" it will not cross.
U.N. leader
the ephemeral Ban Ki-moon... of whom it can be said to his credit that he is not Kofi Annan...
urged the two sides at the conference to finally work together to save lives.
"The world wants an urgent end to the conflict," Ban said in his closing presser. "Enough is enough, the time has to come to negotiate."
Notably absent from the Montreux conference was crucial Assad backer Iran, after Ban reversed a last-minute invitation when the opposition said it would boycott if Tehran took part.
In the Swiss ski resort of Davos on Thursday, Iranian President Hassan Rouhani said elections would be the best way to end Syria's civil war.
"The best solution is to organize free and fair elections inside Syria," Rouhani told the World Economic Forum. "No outside party or power should decide for the Syrian people and Syria as a country."
Erupting after the regime cracked down on protests inspired by the Arab Spring, Syria's civil war has claimed more than 130,000 lives and forced millions from the homes.
Pitting Assad's regime, dominated by the Alawite offshoot of Shiite Islam, against largely Sunni Mohammedan rebels, the war has unsettled large parts of the Middle East.
Shiite Iran and its Lebanese militia ally Hezbollah have backed Assad; the mainly Sunni Arab Gulf states have supported the opposition; and the violence has often spilled over into neighboring Leb and Iraq.
Sectarian festivities linked to Syria's war have killed 10 people in Leb's northern city of Tripoli
...a confusing city, one end of which is located in Lebanon and the other end of which is the capital of Libya. Its chief distinction is being mentioned in the Marine Hymn...
over the past six days alone, a security official said Thursday.