The talks, scheduled for tomorrow in the capital Naypyidaw, are the first of their kind in the country that is attempting to emerge from the shadow of decades of outright military rule.
Experts say the meeting comes at a critical time, with Myanmar searching for a nationwide ceasefire to several rebellions as it heads towards elections in a year's time.
Those polls are seen as a key test of democratic reforms under President Thein Sein's quasi-civilian government.
The talks come just days after Myanmar's election authorities announced that the upcoming poll would be held in the last week of October or the first week of November 2015.
Myanmar authorities have promised the vote will be the freest in the country's modern history after the military ceded direct power to a quasi-civilian government three years ago.
The meeting also follows heated parliamentary debates over constitutional and electoral reform, as well as pervasive jitters that the government, which is dominated by former junta generals, may find a reason to delay next year's poll.
There is "potential for tension to build up -- this is a very important time for everyone to get on the same page."
Suu Kyi's party is expected to win a major slice of the legislature in the 2015 vote, and parliament will select a president following the poll.
But the 69-year-old veteran activist, who spent more than a decade under house arrest during the junta years, is currently barred from taking the top job by the constitution.
The NLD said it was unable to confirm details of the meeting when contacted by AFP today.
Sai Aik Paung, chairman of the Shan Nationalities Democratic Party, hailed the meeting as an "important" step, but said more parties should have been invited.
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