Suu Kyi has made peace a flagship policy of her newly installed civilian-led government which replaced decades of brutal junta rule earlier this year.
It is a tall order in a country where the military, which is loathed and deeply distrusted by many ethnic rebel groups, still retains significant control.
A number of key rebel factions have yet to sign up to a national ceasefire agreement, something Suu Kyi's government hopes today's talks might change.
The body represents both rebel groups that have signed up to the ceasefire agreement and those who have so far refused.
"It will be like meeting family," he told reporters ahead of the meeting.
Among those present was General N'Ban La, from the Kachin Independence Organisation, the political wing of one of Myanmar's most powerful rebel factions, which has yet to sign a ceasefire.
"It's a confidence building meeting, there can be many questions and answers from both sides," Hla Maung Shwe, a government advisor on the peace process told AFP.
Myanmar has been scarred by ethnic conflicts ever since its independence in 1948, with minority groups battling for greater autonomy against a central government that they believed has long ignored and abused them.
Suu Kyi has vowed to overturn that painful legacy with plans to hold a major peace conference later this summer.
However, conflicts continue to rage in several areas between ethnic minority armed groups and the army, which operates beyond the reaches of civilian government, particularly in northern Kachin and eastern Shan states.
More than a dozen rebel factions also plan to hold their own talks later this month in Kachin, with today's meeting seen as a crucial stepping stone towards persuading the hold-out groups to embrace the peace process.
Both Myanmar's military and rebel groups have a long history of rights violations linked to decades of conflict, including the use of child labour and drug trafficking.
Suu Kyi's National League for Democracy government has spoken out in favour greater federalism for Myanmar's ethnic minorities.
But her hands are partially tied.
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