The insurgents said on Saturday they were ready to respond to any peace move by the government, even though the ceasefire was ending at midnight on Monday.
Suu Kyi has been accused by Western critics of not speaking out for the minority that has long complained of persecution.
The violence in Myanmar was set off by a coordinated attack on Augut 25 on dozens of police posts and an army base by Rohingya insurgents.
Nearly 400 people have died in fighting in the far north of the state after Rohingya militants attacked police posts and an army base a week ago.
The treatment of Myanmar’s roughly 1.1 million Rohingya is the biggest challenge facing national leader Aung San Suu Kyi, accused by Western critics for not speaking out for a minority that has long complained of persecution.
Bangladeshi border guards on Thursday recovered the bodies of 20 Rohingya women and children whose boat capsized as they fled Myanmar.
“The situation is very terrifying, houses are burning, all the people ran away from their homes, parents and children were divided, some were lost, some are dead.”
“Many of those fleeing are women and children, some of whom are wounded,” UN spokesman Stephane Dujarric said in a statement.
The flight of large numbers of Muslim Rohingya and Buddhist civilians from the northern part of Myanmar’s Rakhine state was triggered by coordinated attacks by Rohingya insurgents.
The Commonwealth Human Rights Initiative pointed to a 1996 verdict of the Supreme Court on Chakma refugees to back its plea.
India’s actions prove that what separates an illegal immigrant from a refugee is not a question of actual persecution but of political expediency.
The army dispatched about 500 soldiers to several towns near the border with Bangladesh on Thursday, including the towns of Buthidaung and Maungdaw.
In Myanmar’s waves of racial and religious violence, how many promising individuals have been killed, maimed or otherwise destroyed?