More than 100 people have been confirmed killed in the conflict, which began last week when gunmen waving black flags of the Islamic State (IS) group rampaged through the mostly Muslim-populated city of Marawi.
President Rodrigo Duterte declared martial law across the entire southern region of Mindanao, home to roughly 20 million people, in response to the crisis as he warned that local militant groups were uniting behind IS and becoming a major security threat.
"We call on the remaining terrorists to surrender while there is an opportunity," military spokesman Brigadier-General Restituto Padilla said.
"For the terrorists, not surrendering will mean their sure death."
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Padilla also told AFP the surrender call was aimed at limiting the loss of more lives and property.
Up to 2,000 residents were trapped in areas held by the militants, according to the local government, and the International Committee of the Red Cross voiced alarm they would be caught in the bombing raids or crossfire.
The militants also took a priest and up to 14 other people hostage at the start of the crisis.
A video of the priest appeared on social media today in which he repeated the militants' demands to withdraw, although it was unclear when the footage was filmed and its veracity could not be immediately verified.
Clashes today appeared to be as intense as previous days, according to an AFP reporter who followed security forces who had to run from militants' sniper fire coming from nearby buildings.
The militants had killed at least 19 civilians, while 20 security forces and 65 gunmen had died, according to the military.
The violence began when dozens of gunmen went on a rampage in response to an attempt by security forces to arrest Isnilon Hapilon, a veteran Filipino militant regarded as the local leader of IS.
Hapilon, a senior member of the Abu Sayyaf kidnap-for- ransom gang, is on the US government's list of most-wanted terrorists.
He was being protected in Marawi by the local Maute group, which has pledged allegiance to IS.
Hapilon, the Maute and other militants had been planning a major attack on Marawi, one of the few Islamic cities in the mainly Catholic Philippines with a population of 200,000 people, armed forces chief General Eduardo Ano said.
He said they were planning to launch the assault to coincide with the Muslim holy month of Ramadan, which began on the weekend, but the raid on Hapilon triggered them to attack earlier, according to Ano.
A Muslim separatist rebellion in the southern Philippines has claimed more than 120,000 lives since the 1970s.
The Maute, the Abu Sayyaf and other hardline groups are not interested in negotiating and have in recent years looked to IS to help them.
The Marawi violence was intended to highlight their credentials to IS, security analysts have said.
Duterte said Saturday he was prepared to enforce martial law for as long as was necessary to end the terrorist threat.
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