Violence erupted in Myanmar's Rakhine state on August 25 when the country's security forces launched an operation against the Rohingya Muslim community.
Roque said Suu Kyi did not refer to the Rohingya by name. He says he is a "proud Dubliner" and does not want the ceremonial title while Suu Kyi also holds it.
At a later appearance after the meeting, Tillerson - who is headed to Myanmar on Wednesday - was asked by reporters if he "had a message for Burmese leaders".
The official did not comment on whether Tillerson would raise the threat of military sanctions, which U.S. lawmakers have pushed for.
"I had an extended conversation with".
The U.N. humanitarian office said Tuesday that the number of Rohingya who have fled Myanmar to Bangladesh since August 25 has risen to 618,000.
Suu Kyi has assured other Southeast Asian nations that her government is implementing the recommendations of a commission led by Annan on the situation in Rakhine state, where more than half a million Rohingya Muslims have fled to neighboring Bangladesh.
Myanmar's army has issued a report forcefully denying they committed atrocities against the Rohingya, the embattled ethnic minority who have fled in their hundreds of thousands across the border to Bangladesh. It said it found no instances of soldiers using "excessive violence".
Trudeau urges just solution to Rohingya crisis
"This is a tremendous concern to Canada and to many, many countries around the world", Trudeau told a news conference in Manila.
With US senators in Washington pressing to impose economic sanctions and travel restrictions targeting the military and its business interests, Tillerson is expected to deliver a stern message to Burma's generals, while supporting the transition to democracy.
The report contradicts statements from ethnic Rohingya who have reported widespread abuses - including massacres, rape, looting and torching of villages - at the hands of Myanmar military and civilian mobs.
During his visit to the Myanmar capital Naypyidaw, his first to the country, Tillerson pledged an additional $47 million in aid for refugees, bringing the total the United States has earmarked for the crisis to $87 million since August.
The Burmese government insists military action in Rakhine is a proportionate response to violence by militants.
However, it heavily restricts access to the region by independent journalists and aid groups, and verification of events on the ground is virtually impossible.
Supporters say she does not have the power to stop the powerful military, which ruled the country for decades until her party came to power following 2015 elections. The top United States diplomat will travel from Manila, where the summit of the Association of Southeast Asian Nations (Asean) culminated on Tuesday. Human rights organisations have branded it a "whitewash".
Secretary Guterres said, "the dramatic movement of hundreds of thousands of refugees from Myanmar to Bangladesh, is a worrying escalation in a protracted tragedy and a potential source of instability in the region, and radicalization".
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Conservative rebellions are likely later on in the process, with a further six days of discussion set aside over the coming weeks. My objective is to try to make sure that Brexit is as controlled and risk-free a process as possible".
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