Although most militants left the area, separate extremist groups remained in the camp, the news outlet said, adding that government forces had launched a mop-up operation.
The area is centred around the Al Hajar Al Aswad district and the adjoining Palestinian refugee camp of Yarmouk, the largest in Syria.
The Iranian-backed militias, including the Lebanese group Hizballah, have been key - along with Russian air power - in aiding Syrian government forces to recapture huge areas around Damascus and in the country's northern and central areas.
A state television presenter said the recovery of al-Hajar al-Aswad meant the area south of Damascus had been completely cleared of insurgents.
Syrian Gen. Ali Mayhoub said in a TV broadcast that the army had captured ISIS strongholds in the Palestinian Yarmouk camp, a Damascus district populated by Palestinian refugees, and Hajar al-Aswad, a city two miles south from the center of Damascus, according to Reuters.
For four weeks, Syrian troops and allied Palestinian fighters waged a relentless battle for Yarmuk, as well as Hajar al-Aswad, Qadam, and Tadamun.
The battle in Hajar al-Aswad was complicated as that area is jam-packed with buildings that are so close to each other, making a ground offensive extremely hard.
The fighting in southern Damascus has left scores of dead on both sides and caused massive destruction in the Yarmouk camp, which was a built-up residential area, and its surroundings.
But in a first official comment on evacuations, a military source said Monday that a brief ceasefire had allowed some civilians to be transferred out overnight.
"A second batch of elements from ISIS left after midnight", the Syrian Observatory for Human Rights said.
The Syrian army is close to gain control of the last areas of Damascus held by opponents of the regime of Bashar al-Assad.
Mr Assad last week met Vladimir Putin, the president of Russian Federation, in Sochi.
Syrian government forces and their allies have been battling to recover the enclave south of Damascus since defeating rebels in Eastern Ghouta, also near the capital, in April.
The US-led coalition told AFP on Monday it was aware of the reported evacuations from Yarmuk and was "monitoring the situation".
Iranian-backed militias, including the Lebanese group Hezbollah, have been instrumental in helping Assad's over-stretched forces recapture huge areas around Damascus and in the country's centre and north, building a military presence that has alarmed Israel and its USA ally, which is now looking to constrain Iran's activities.
"Our presence in Syria has been based on a request by the Syrian government and Iran will continue its support as long as the Syrian government wants", he said, speaking shortly before Pompeo made his remarks.
Contrary to claims from Trump and his allies, there's no substantial evidence the informant infiltrated Trump's campaign to spy . Justice Department leaders have fought vigorously against turning over to Congress materials on the FBI's source.
Chelsea will have to sack him. "I'm sure the manager will make the best decision for himself and his family". The Chelsea goalkeeper excelled in their 1-0 FA Cup win over Manchester United on Saturday.
Serkis revealed that Bale's performance as Bagheera added a phenomenal warmth and real love to the character's bond with Mowgli . The story will follow the upbringing of the human child Mowgli , who was raised by a wolf pack in the jungles of India.
The Bureau of Alcohol, Tobacco, Firearms and Explosives traced the weapons to determine their purchase history. That embarrassed him, says Baze, and suggests that it was this public rejection that pushed him over the edge.
Accomplishing that should be the focus for worldwide policymakers and Maduro's domestic opponents in the coming weeks and months. His supporters gathered outside his Miraflores presidential palace in downtown Caracas , celebrating with fireworks.
Israel claims east Jerusalem as an inseparable part of its capital - though its annexation is not worldwide recognised. Israel said it took a "severe view" of the Palestinian request and called on the ICC to reject the " cynical step".
At times it seemed as though nearly everywhere Meghan Markle went on her wedding day, a little band of helpers followed. The designer of the wedding dress, Clare Waight Keller , was also behind the bridesmaids' dresses.
That should include GE getting rid of at least $20 billion of assets through sales, spin-offs or other means. And it's just Wabtec , with none of the ham-handed nonsense that gave us Baker Hughes, a GE Co .
Arsenal are reportedly set to appoint the former PSG boss this week following an extensive search for a new boss. Working with the Spanish club for two and a half years, Emery delivered an incredible three Europa League wins.
Lava flows have sped up as fresher magma mixes with decades-old magma, creating hotter and more fluid flows, scientists said. There, travelers are free to do most of the usual sightseeing activities that aren't associated with the erupting volcano.
Last year, an R2-D2 droid used in the making of several " Star Wars" films sold for $2.76 million at auction in Los Angeles. He flies into an asteroid belt, barking at that droid, "Never tell me the odds!" "We will see how they respond".
After high-level talks in Washington last week, Beijing has agreed to "substantially reduce" America's trade deficit with China. Both sources said the deal, while not yet cemented, was likely to be finalised before or during a planned trip by U.S.
You have to be happy with who you are, '" Cruz, pictured above, told Spanish newspaper El País , according to The Guardian . Pope Francis recently told a follower that it is OK for him to be gay, despite traditional teaching proving otherwise.
The New York Times reported on Sunday that Mr Trump was asking aides and advisers whether he should proceed with the Kim summit. But he said there are certain conditions that must be met and if North Korea refuses, the meeting will not take place.
Among the "key issues" for the next 12 months, he said, was the fate of low-priced , long-haul carrier Norwegian Air Shuttle. Profits at Ryanair rose 10pc in the last 12 months to March, despite the cancellation of thousands of flights last autumn.
There's a 6-inch SuperAMOLED display , this time just HD+, with 4GB of RAM , 64GB of storage , and a Snapdragon 450 processor . Chat-over-Video allows consumers to chat through a transparent chat window and keyboard, while a video is still running.
Such a move, Trump allies argue, would render the Mueller investigation into Russia's 2016 election interference illegitimate. The White House did not immediately provide guidance on what exactly Trump meant in terms of actions to be taken on Monday.
It took several hours before authorities found the cougar up a tree 50 to 200 yards (45 to 182 meters) away and killed it. Authorities plan to match DNA taken from the animal with DNA from the victims to be certain they killed the right cougar.
Kim has visited China twice in recent months to meet with Xi, while Trump has also spoken by phone with the Chinese leader. Trump allies have said a nuclear deal with North Korea should get the president the Nobel Peace Prize.
Below is all the information you need to watch American Idol online and live Monday to catch the last episode of the season. She nailed it the second time, prompting Lionel to say that she owned the stage and was "selling her goods".
Meghan was "exactly what you see on TV", said the Birmingham-born designer, adding: "She's just so genuine and warm and radiant". For years, the British royal family has been a spectacle Americans can enjoy from a distance without any real personal stake.