"This genocide needs to be tried at global court", National Human Rights Commission Chairman Kazi Reazul Haque told a news conference in Cox's Bazar.
"It is now a national problem", Ali said.
Rohingya residents-a stateless mostly Muslim minority allege that the military and Rakhine Buddhists responded with a brutal campaign against them, according to the reports.
Meanwhile, Yanghee Lee, the United Nations special rapporteur on human rights in Myanmar, has said: "Perhaps about a thousand or more are already dead" in the recent spate of violence in the Rakhine state and that while the figure may be indicative of casualties of both - the minorities and the Myanmar Army - but the deaths "would be heavily concentrated on the Rohingya population".
The statement from India came, hours after Bangladesh briefed India about the measures it took to deal with the Rohingya influx from Myanmar.
Some 27,000 ethnic Rakhine Buddhists have also fled in the opposite direction saying Rohingya militants have murdered members of their community.
An ongoing army operation on the insurgents in Myanmar's Rakhine State has forced 300,000 Rohingyas to flee to Bangladesh, where another 400,000 refugees have taken shelter over the past few decades of turmoil.
Separately, while addressing the OIC summit, President Mamnoon said Muslim countries around the globe should make collective efforts for the development of science and technology to meet the challenges of the new era, Radio Pakistan reported.
Most live in the impoverished western state of Rakhine but are denied citizenship and harassed by restrictions on movement and work.
A Myanmar military source told Reuters last week that landmines had been laid along the border in the 1990s to prevent trespassing and the military had since tried to remove them.
Malaysia, hundreds of kilometres to the south on the Andaman Sea, is likely to see more boat people from Myanmar in coming weeks and months because of the renewed violence, said Zulkifli Abu Bakar, the director-general of the Malaysia Maritime Enforcement Agency.
A Rohingya refugee woman wiping her tears after crossing the border at Teknaf, Bangladesh.
The spokesman referred to Iranian Foreign Minister Mohammad Javad Zarif diplomatic efforts and said, Islamic Republic is determined to help the Rohingya Muslims in Myanmar.
Meanwhile, a Pakistani lawyer Barrister Iqbal Jafri has submitted an application to the International Court of Justice seeking registration of a case against Myanmar ruling party head Aung San Suu Kyi and religious leader Ashen Waratho for their alleged involvement in killing of Rohingya Muslims.
An exhausted Rohingya mother arrives at Kutupalong refugee camp earlier this week.
One source said a camp for internally displaced people in the area also went up in flames. According to refugees, it has also targeted civilians with shootings and wholesale burning of villages in an apparent attempt to purge Rakhine state of Rohingya.