Myanmar's deputy foreign minister Khin Maung Win last month told the BBC that the government was having regular and positive contacts with the Nobel peace laureate.
"Some of the military would like to sideline Aung San Suu Kyi, but some would not as they understand she has to be part of the process," Pedersen said.
On the weekend, the state press announced that the Kachin Independence Organization would take part in the convention. The announcement was significant because the Kachin Independence Army, the ethnic group's armed wing, refused to take part in the first convention.
"The junta is clearly already working hard to gather parties and ethnic minority groups to be able to present something that seems viable," said one western diplomat.
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