Bangladesh border guard officials said they were providing food and water to the Rohingya, but that no one would be let in.
"Hundreds of Rohingya refugees were waiting near Toombro border trying to enter Bangladesh territory", he added.
The total includes at least 80 insurgents and 12 members of the security forces.
Deadly attacks by the militants on border police sparked a military response that left scores dead and forced some 87,000 people to flee to Bangladesh.
The government refuses to recognise Rohingya as a legitimate native ethnic minority, calling them Bengalis to push the position they are mostly illegal immigrants from neighbouring Bangladesh, though many can trace family in Burma for generations.
Around 2,000 people have been able to cross into Bangladesh since Friday, according to estimates by Rohingya refugees living in the makeshift camps in Bangladesh.
"They were pleading with us not to send them back to Myanmar", another police officer said on condition of anonymity.
Myanmar's minister for social welfare, relief and resettlement Win Myat Aye told Reuters late on Saturday that 4,000 "ethnic villagers" who had fled their villages had been evacuated, referring to non-Muslim residents of the area.
While the chaos and lack of access made detailed assessments hard, experts said the latest attacks were so widespread, they appeared to be more akin to a movement or an uprising, rather than an insurgent offensive.
The pontiff said Sunday there was "sad news about the persecution of the religious minority of our Rohingya brothers".
The military, known as the Tatmadaw, reported several clashes involving hundreds of Rohingya insurgents across northern Rakhine state on Sunday.
Almost 87,000 Rohingyas migrated into Bangladesh illegally since last October following a crackdown by security forces in Myanmar on the Muslim minorities.
They have also posted videos they say show villagers who have fled to the mountains for safety.
Friday's violence pushed more Rohingya to leave, with two boats containing around 150 women, children and elderly people attempting to cross the Naf river into Bangladesh.
The violence erupted hours after the release a long-awaited report into the treatment of Rohingya by the Advisory Commission on Rakhine State, led by former United Nations Secretary-General Kofi Annan.
He also criticised Myanmar's Suu Kyi "for waging a very unsafe propaganda campaign" against humanitarian workers helping the Rohingya.
A Rohingya insurgent group, the Arakan Rohingya Salvation Army, or ARSA, took responsibility for Thursday night's attacks on more than 25 locations, saying they were in defence of Rohingya communities brutalised by government forces.
Myanmar says the group is headed by Rohingya jihadists who were trained overseas but it is unclear how large the network is and they appear to be using homespun weapons in addition to guns seized during their raids.