"The secretary-general highlighted that strengthened efforts to ensure humanitarian access, safe, dignified, voluntary and sustained returns, as well as true reconciliation between communities, would be essential", a United Nations statement said, summarising comments to Suu Kyi.
Trudeau told a news conference he mentioned the issue to Duterte during their conversation on Tuesday before Canada's summit with the 10-member Association of Southeast Asian Nations.
"It is incumbent upon the military and security forces to respect these commitments of the civilian government; to assist the government in implementing them and to ensure the safety and security of all people in Rakhine state", Tillerson said. "Over 600,000 Rohingya, mostly women and children have fled to Bangladesh and an unknown number from multiple ethnic groups remain internally displaced with limited access to food, water and shelter", Tillerson said.
The military said the investigation - which was led by Lt. Gen.
Suu Kyi does not have the power to stop Myanmar's military, but has defended it from worldwide condemnation, drawing harsh criticism and damaging her image as a democracy activist and human rights campaigner.
In a statement issued late Monday, the military said it had interviewed thousands of people during a monthlong investigation into the conduct of troops in western Rakhine state after Rohingya insurgents launched a series of deadly attacks there on August 25.
Canadian Prime Minister Justin Trudeau brought up his country's concerns about human rights and extrajudicial killings in the Philippines when he met with President Duterte, whose "war on drugs" has earned widespread condemnation for leaving thousands of suspected drug pushers and users dead.
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"I can not hide my deep concern with the dramatic movement of hundreds of thousands of refugees from Myanmar to Bangladesh", Guterres told leaders including Suu Kyi.
"The humanitarian scale of this crisis is staggering".
Supporters say she must navigate a path between outrage overseas and popular feeling in a majority Buddhist country where most people believe the Rohingya are interlopers.
He said he impressed on Duterte the need for respect for the rule of law and offered Canada's support and help. "We heard [this] from people... over and over again".
The conservative ASEAN, which includes Myanmar and other countries critical of its handling of the Rohingya crisis like Malaysia, has refused to formally discuss the crisis as a bloc in a strongly critical manner. Those principles have allowed erring governments to parry criticisms while being involved in an internationally recognized regional grouping.
In posting on his Facebook page, Myanmar's military supremo said he had explained to Tillerson the "true situation in Rakhine", the reasons why Muslims fled, how the military was working with the government to deliver aid and the progress made for a repatriation process to be agreed with Bangladesh.