About 1.25 lakh Rohingya refugees have crossed into Bangladesh in the last two weeks after a fresh surge of violence.
National Assembly Standing Committee on Human Rights Chairperson Babar Nawaz Khan told Express that meetings with diplomats were continuing regarding the Myanmar government's atrocities against its Muslims minority.
Myanmar denies its Rohingya population citizenship and regards them as illegal immigrants - even though many have lived in the country for generations.
The Myanmar's president Htin Kyaw and Suu Kyi had visited India previous year.
This is Modi's first bilateral visit to Myanmar.
Listof MoUs/Agreements signed during State visit of Prime Minister to Myanmar.
Today, Modi focused on the need for the two countries to cooperate more deeply in securing their long and porous border - an emphasis Suu Kyi shared when she spoke.
"Last year, unfortunately, there was an natural disaster in Myanmar which also hit Bagan and 400 historical structures were badly damaged and the Government of Myanmar, therefore, requested the Government of India to ask for the services of the ASI in restoring these historical structures".
Prime Minister Modi will also pay a visit to Shwedagon Pagoda in Myanmar's Yangon.
Highlighting that Prime Minister Modi will visit several places of cultural and historical interest, including the Shwedagon Pagoda, which is the most sacred and famous Buddhist site in Myanmar.
Suu Kyi was awarded a Nobel Peace Prize for her work in bringing democracy to Myanmar, but some have called for her Prize to be taken back. The Myanmar leader thanked Modi for his support against the "terror threat" her country faces.
Earlier on Tuesday, Prime Minister Modi presented a reproduction of an 1841 map of a stretch of the River Salween and a sculpture of Bodhi tree to President of Myanmar U Htin Kyaw.
Modi arrived here on the second leg of his two-nation trip during which he travelled to southeastern Chinese city Xiamen where he attended the annual BRICS summit and held talks with Chinese President Xi Jinping, Russian President Vladimir Putin and other world leaders.