Aung San Suu Kyi, whose party won a landslide victory in elections last month, has met President Thein Sein to discuss the handover of power.
She will also separately meet Commander-in-Chief Min Aung Hlaing.
Both men have pledged to assist in a smooth transfer of power after decades of military rule.
Suu Kyi is constitutionally barred from becoming president- but has said she will be above the person she nominates for the role.
A spokesman for Thein Sein said the discussion with Suu Kyi lasted 45 minutes and focused on how to achieve a peaceful transition of power.
Suu Kyi cannot become president because her two sons have foreign nationality. They, like their late father, are British.
She led the National League for Democracy (NLD) to a landslide victory in 8 November polls.
Despite hundreds of thousands of people, such as the stateless Muslim Rohingya minority, being denied voting rights, the elections were the most democratic in Myanmar in 25 years.
The NLD won about 80% of the seats in parliament, under the country's first-past-the-post, constituency-based electoral system.
Suu Kyi reached out to the president, parliament speaker and army chief for talks after the elections. Details of the discussions are not expected to be released for some time.
The current parliamentary session ends in January, only then will the new NLD-dominated parliament session begin.
The party will immediately choose a new speaker before selecting two vice-presidents and a president.
The army retains a quarter of the seats in both the upper and lower house of parliament, forcing parties without military backing like the NLD to win two-thirds of the seats in order to control both houses of parliament and choose the next president
The army ruled Myanmar, also known as Burma, with an iron fist from 1962 until 2011.
In 2011, a military-backed civilian government came into power led by Thein Sein.