Tens of thousands of Rohingya have flooded into Bangladesh in the past 10 days, following an increase in fighting between militants and Myanmar's military in the country's Rakhine state.
Aid agencies estimate about 90-thousand Rohingya have fled from Myanmar into neighbouring Bangladesh since violence erupted in northern Rakhine state last week.
The Rohingya are denied citizenship in Myanmar and regarded as illegal immigrants, despite claiming heritage that date back centuries.
Myanmar says its security forces are fighting a legitimate campaign.
Indonesia's Foreign Minister on Monday met Myanmar leader Aung San Suu Kyi to discuss delivering humanitarian aid to the Muslim minority.
The meeting comes as female Muslim protesters rallied outside the Myanmar embassy in Jakarta, in a show of support for the Rohingya people.
"Myanmar is carrying out military acts against its own people. Because all Muslims are brothers, we must acknowledge the situation there and do everything we can to help them. It must be a real act, it could be in the form of gathering our strength and sending a military response to stop the forces there."
The recent violence began last October when a small Rohingya militant group ambushed border posts, with the United Nations saying Myanmar's army may have committed ethnic cleansing in response.
Aung San Suu Kyi , a former political prisoner who spent 15 years under house arrest, has now come under increasing criticism over her perceived unwillingness to speak out against the treatment of the Rohingya.
The growing crisis threatens Myanmar's diplomatic relations with Muslim-majority countries in Southeast Asia, such as Malaysia and Indonesia.
Anger is now spreading beyond Asia, with protests also spreading to the Russian republic of Chechnya.
Speaking in Grozny on Monday, Russian protester Malika Bazayeva said she feels compelled to support other Muslims.
"They are my brothers and sisters in faith. Of course, I stand for them. I protest against the genocide. That is inhuman. How can governors and all others, the entire world, be silent when such things take place?"
Meanwhile, India's top court has asked the Government of India to respond to a petition filed by Rohingya refugees in India who are seeking to stop plans to deport more than 40,000 refugees living in the country.
Indian lawyer and human rights activist Prashant Bhushan says their deportation violates international law.
"The government of India had been making repeated statements that these Rohingya refugees would be sent back , and we have said - pointed out, that this would be in gross violation of all principles of international law, various international conventions which India is a signatory to, which have said that you cannot send back refugees in a situation where there would be a serious threat to their life and limb... and therefore, they should be allowed to remain here."
The plight of the Rohingyan's has also elicited strong reaction in other Muslim majority countries.
The Maldives announced on Monday it was severing all trade ties with Myanmar in response to it's treatment of Rohingya Muslims.
Turkish President Recep Tayyip Erdogan also criticised the country, saying the issue would be taken to the U-N General Assembly later this month, while Iran also called on the UN to do more to curtail the violence.
Protesters from Australia's Rohingya community have also rallied outside Parliament House in Canberra.
