This comes after New South Wales Premier Morris Iemma announced he would recall parliament to push through tough new police powers to allow them to tackle the rioting.
As well as new powers of arrest, police will also have the authority to close down pubs and liquor outlets to stop rioters from accessing excessive amount of alcohol, believed to be one of the factors behind Sunday’s violence.
Violence spreads
Eleven Caucasian men threw eggs, shouted abuse and kicked the garage door at the home of a Middle Eastern family in Perth.
The 42-year-old father of the Kewdale family, who did not want to be identified, said his family was badly shaken by last night's incident.
"I don't know if we were mistakenly identified. What I do know is it was something linked to the escalation in NSW," he told the ABC.
In Adelaide a cab driver of Lebanese origin was injured when punched by a passenger during an incident at suburban Gilberton on Tuesday.
"There was some sort of discrepancy and argument over the fare," a South Australian Police spokesman said.
"Apparently during the assault, the victim, because he was of Lebanese origin, was taunted about the stuff in Sydney and Cronulla beach."
The cab driver later told the Seven Network the incident has marred his view of Australia as a tolerant society.
Meanwhile, Islamic Council of Victoria offices in west Melbourne have been vandalised for the second time in a month.
Riots won’t damage international reputation: PM
Australian Prime Minister John Howard said the race violence will cause no long-term damage to Australia's image overseas, however senior opposition politicians have disagreed, as the beach riot continues to make headlines around the world.
Mr Howard said there are outbreaks of domestic discord in every country, but people make judgements about a country over the longer term.
"They don't make judgements about Australia on incidents that occur over a period of a few days," he said.
But opposition foreign affairs spokesman Kevin Rudd said anyone who believes this is taking an ostrich approach.
While he said Australia is not a racist country, the riots may have involved racist elements.
"Blind Freddy can tell you this is having an impact on Australia's international standing - that's just the truth."
Second night of violence
In violence overnight, seven people were injured, cars and shops trashed, and rock and flares hurled at police in a second consecutive night of mob violence in Sydney.
Eleven men were arrested in apparent reprisal attacks for Sunday's race riot at the southern suburb of Cronulla, where alcohol-fuelled mobs chased and bashed people of Middle Eastern appearance.
The trouble began on Monday night when a group of 200 mostly Muslim men gathered at Lakemba Mosque, in Sydney's south-west, apparently after rumours that an attack on the building was imminent.
Rocks and flares were thrown at police trying to disperse the group, and a female constable was injured when a projectile struck her leg.
Police were also hit with projectiles as a crowd of about 100 people gathered for a second night in Brighton-le-Sands, in Sydney's south.
At Cronulla, about 50 men arrived in cars on Monday night before rampaging through the beach community, smashing car windows and shop fronts with baseball bats.
There were also reports of gunshots being heard.
Molotov cocktails
More than 30 Molotov cocktails and crates of rocks were found during a rooftop search at south Maroubra, not far from where a mob smashed car windows on Sunday.
Cricket bats, rocks and iron bars were also confiscated by police monitoring about 100 people who gathered near Maroubra beach.
Police said the injured included a couple attacked as they left a restaurant in Caringbah about 10pm (AEDT), a man who suffered head injuries and severe facial bruising after being attacked at a youth hostel at Caringbah, and a man who was attacked as he put his rubbish bin out on the street.
Text messages
Police are bracing for further violence after new text messages, including one declaring war between Sydney's Middle Eastern youths and Australians, began circulating.
More than 450 police officers will patrol Sydney streets on Tuesday night in a bid to stop more race-fuelled violence.
The new text messages follow a round of similar ones sent last week, calling for retaliation after an attack on surf lifesavers at Cronulla on December 3.
One of the new messages congratulates Australians for the fight they put up against the Lebanese at Cronulla during Sunday's riots, and called for more attacks.
"We'll show them! It's on again Sunday," The Australian newspaper reported the message said.
Another warned of retaliation from the Middle Eastern groups.
"The Aussies will feel the full force of the Arabs as one - 'brothers in arms' unite now..." it read.
Another called for "straight up WAR. The lebs/wogs won't stand for this."
Police have formed a task force to try to prevent a repeat of Sunday's riots, which have been condemned by NSW Premier Morris Iemma.
Peace deal
But Lebanese Muslim leader Keysar Trad and Maroubra's surfer gang, the Bra Boys, said they would attempt to broker a peace deal between the rival groups.
Malaysia comments
Meanwhile, Malaysia said the race riots in Australian targeting Middle Easterners reveal that "extremism" is not unique to Arabs and Muslims.
"It can exist in any community, in any religion," said Syed Hamid Albar, the foreign minister of Malaysia, which currently heads the Organisation of the Islamic Conference (OIC).
Australian Prime Minister John Howard departs for Malaysia on Tuesday to attend the ASEAN summit.