The bench, meanwhile, did not issue notice to the National Human Rights Commission (NHRC), which is already seized of the matter and has recently issued notice to the Central government.
Home Minister Rajnath Singh on 15 September said that the government would inform the Supreme Court on its stand on the Rohingya immigrants on 18 September. "Western human rights have been through struggle but in India it always existed".
"Before thinking of human rights of others we need to think of the rights and well-being of Indian citizens and protect those", he added.
Much debate is centred on whether India should offer refuge to the Rohingyas who are facing persecution in their home country - Myanmar. No Rohingya has applied for asylum.
He said India would not be violating any worldwide law by acting against illegal immigrants as the issue was related to India's national security.More news: Crude palm oil futures remain up on rising demand
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Two members of the 40,000-odd Rohingya Muslims facing deportation told the Supreme Court on Friday that most Rohingyas were "peace-leaving" and had fled Myanmar to India to escape persecution and should be accorded special refugee status to have long-term visas and get local jobs.
The Centre told the Supreme Court that Rohingya Muslims are "illegal" immigrants in the country and their continued stay posed "serious national security ramifications".
The Centre has also said that even Rohingya's registered with the United Nations High Commission for Refugees would be deported. According to media reports, the violence began when Rohingya militants attacked police posts in Myanmar's northern Rakhine state. As a result many Rohingyas and Bangladeshis have made use of our faulty official systems to obtain voter IDs and PAN cards.
The government also said if allowed to stay, the Rohingya refugees would exhaust natural resources meant for Indians that could culminate in hostility towards them and lead to social tension and law and order problems.
The refugees are fleeing a fresh security operation in which security forces and Buddhist mobs have killed men, women and children, looted homes and torched Rohingya villages. Meanwhile, Thailand's military junta has announced a policy created to push back desperate Rohingya seeking to escape the atrocities in Myanmar's Rakhine state, and deny them access to refugee protection.
Human rights group Amnesty International has blamed Myanmar's State Counsellor Aung San Suu Kyi and the country's government for "burying their heads in the sand over the horrors unfolding in Rakhine State".