In response, Thailand's UN envoy Sihasak Phuangketkeow said an independent commission was "being set up".
Somalia's UN-backed government is battling Islamist insurgents and controls only a small part of the country.
Mexico's UN mission in Geneva had no immediate response to Ms Pillay's comments, according to AP news agency.
BBC: UN calls for Mexico probe into migrant train abductions
The mandate for Somalia's UN-backed transitional federal government expires in August after eight years of squabbling and rent-seeking.
Nonetheless, Obama's UN appearances will showcase that he now unambiguously "owns" (as he likes to say) our foreign policy.
The country's UN envoy believes drones are needed to make up for the expected decline in the UN's personnel presence.
France's UN ambassador Gerard Araud said his country had the "understanding and support" of the 14 other Security Council members.
Ivory Coast's UN ambassador, Youssoufou Bamba, told the UN Security Council that he thought the current level of security was good.
The sanctions have been described by Washington's UN ambassador Susan Rice as "some of the toughest sanctions" the UN had ever imposed.
Iraq's UN ambassador, Nizar Hamdoon, has clashed with the head of UN's weapons inspectors, Richard Butler, over who should control the site inspections.
For the EU, Sweden's UN envoy Anders Liden urged Israel and the Palestinians to "launch appropriate, credible and independent investigations into possible violations".
Last Friday's UN Security Council vote was a case in point.
CENTERFORSECURITYPOLICY: Obama's devastatingly mixed signals
Well, Russia's UN Ambassador, Vitali Churkin, said that Russia was introducing the resolution because it said the crisis in Lebanon is reaching what he called catastrophic proportions.
The movie, which is opening the festival's Un Certain Regard strand, is based on a gang of Los Angeles teenagers who used the internet to find the homes of celebrities.
However, some other Council members are less critical of Khartoum, noting its right to defend itself from an armed rebellion, the BBC's UN correspondent Barbara Plett in New York reports.
Writing in the Journal Nature in April, researchers said pledges made at December's UN summit in Copenhagen are unlikely to keep the rise in the global mean temperature to 2C (3.6F) above pre-industrial levels.
At December's UN climate change conference in Bali, Indonesia, leaders from all countries can find common ground to ensure forest protection is included as a valid, direct and immediate action that generates measurable carbon credits.
BBC: NEWS | Science/Nature | Seeing the carbon for the trees
Olivier Nduhungirehe, a senior Rwandan diplomat at the country's UN mission, said the United Nations experts had been "allowed to pursue a political agenda that has nothing to do with getting at the true causes of conflict in the eastern DRC".
BBC: Rwanda defence chief leads DR Congo rebels, UN report says
France is eager to hand the lead to the Africans as soon as possible, although the country's UN Ambassador Gerard Araud has acknowledged there are "questions" about how the shift from a French emergency operation to a UN mandate will take place.
Although respected personally, small island states that feel threatened by climate change are understood to have resisted the appointment of someone from the BASIC bloc of countries (Brazil, China, India and South Africa), which argued against swingeing carbon curbs at December's UN summit in Copenhagen.
The data, released by the UN children's charity and UN population fund on the international day calling for an end to FMG, showed that the younger generation was less vulnerable to female circumcision in 29 countries in Africa and the Middle East where it is usually practised.
Whether it's the UN or the US or any other country, someone has to step forward.
Kenya's former UN ambassador Francis Muthaura and journalist Joshua arap Sang are facing similar charges at The Hague.
BBC: ICC Kenyatta trial 'may be delayed' on defence complaint
This point was made clear to the public on Wednesday when Israel's new UN Ambassador, Gavriela Shalev gave an interview to Army Radio.
On June 21st, after a long and costly legal battle that unearthed documents backing Mr Wasserstrom's case, the UN's new Dispute Tribunal overturned that.
There had been suggestions that Libya's deputy UN ambassador, Ibrahim Dabbashi, was a contender for the foreign minister post, but he was not in the final line-up.
Pedro Muora Costa, president of EcoSecurities, doesn't think that's possible, given the UN's methodical evaluation.
Ken Davies, Uganda's country director for the UN's World Food Program, explains.
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