As former United Nations Secretary General Kofi Annan flew to volatile northern Rakhine state, where most of Myanmar's Rohingyas live, Suu Kyi called for "national reconciliation".
Annan's trip comes less than a day after the UN's Special Adviser on the Prevention of Genocide, Adama Dieng, expressed alarm at reports of a crackdown against the country's Rohingya Muslim minority.
"Violence will not create an environment conducive to peace and inter-communal cohesion, which is a prerequisite for economic progress and prosperity," he said.
The Kofi Annan Foundation had already established the Advisory Commission on Rakhine State, in cooperation with the Myanmar government, before the recent violence began.
Aung San Suu Kyi heads to Singapore
As Annan flies in Myanmar's capital Yangon, Suu Kyi is on a three-day trip to Singapore.
She has been criticized for not addressing the violence in Rakhine directly in the past month.
"I don't have words to describe the disappointment with her government," Bangkok-based Fortify Rights Founder Matthew Smith told CNN last week.
"That the government has simply flatly denied human rights violations are taking place does not bode well for the National League for Democracy (NLD)."
Though she did not address the situation in Rakhine directly, Suu Kyi said Wednesday that "national reconciliation and peace is unavoidably important for us."
"We have to achieve peace and national reconciliation that our country may be able to progress," she told an audience in Singapore.
Asked by reporters following the event about UN criticism, Suu Kyi did not comment.
International protests, condemnation
International outrage continues to grow around increasingly serious reports from human rights groups of abuses in Rakhine.
In his statement on Tuesday, Dieng said Myanmar's leaders had to allow international observers into to assess the situation in the province.
"The government needs, once and for all, to find a sustainable solution to the situation of the Rohingya Muslims and other religious and ethnic minorities in Myanmar, a solution that is in full compliance with ... international human rights standards," he said.
In New York, a protest is planned for Wednesday local time by community leaders and organizations opposed to what they say is the "mass killing" of Myanmar's Rohingya.
Malaysia's foreign minister Anifah Aman said in a statement this week he would meet with Suu Kyi over the "ethnic cleansing" in Rakhine, while Canada's foreign minister Stephane Dion tweeted on Saturday he was "deeply concerned" by the violence against Myanmar's Rohingya minority.
CNN's James Griffiths contributed reporting.