But politics was likely high on the agenda — the military retains a central role in the country with a quarter of seats in parliament reserved for it, along with control of the security forces and the civil service.
Moreover, with its bloc of seats in parliament the military wields a veto over any changes to the constitution, which requires a super-majority of more than 75%.
Asked about the chances that the constitution could be amended to allow Suu Kyi to be president, Maj Genl Tauk Tun, the most senior military lawmaker in the lower house, did not entirely rule it out, while at the same time sticking to the military's line on the sanctity of the 2008 charter.
"We'll do it according to the constitutional provisions," he said.
Even if the two sides were to agree to change the constitution, it would still require a nationwide referendum.
To circumvent that lengthy process, article 59 (f), which bars anyone with a foreign spouse or children from the presidency and so disqualifies Suu Kyi, whose sons are British citizens, could be suspended, according to Aung Ko, a former general and Suu Kyi ally, and NLD legal experts.
Whether that would be lawful remains open to debate, and even some Suu Kyi supporters worry about the precedent it could set.
"Personally I do want Daw Aung San Suu Kyi to become the president, but I honestly don't think the constitution should be suspended since this is not a good tradition to hand down to future parliaments," said lawmaker Ba Shin of the Arakan National Party, a large ethnic party from Rakhine State.
The NLD has until the end of March to organise the presidential vote in the parliament, but top leaders said they may carry it out next week or toward the end of February, suggesting the two sides could be close to striking a deal.
"They are trying to find a solution that doesn't step on everyone's red lines," said Kelly Currie, senior fellow at the Washington-based Asia-focused think tank Project 2049 Institute.
"Most likely a more straightforward situation is better. Better than Suu Kyi governing but not having a position."