Three men have been arrested and charged following disorder and racist assaults in Glasgow after a knife attack in Belfast on Monday night.
Police Scotland said five people were injured, including two police officers, after hundreds of people wearing masks marched through the city centre on Tuesday evening.
Assistant Chief Constable Alan Waddell said people were "attacked because of the colour of their skin".
It came as violence broke out in Belfast on Tuesday after Hadi Alodid, from Sudan, was charged with the attempted murder of Steven Ogilvy in the city.
The Home Office said the alleged attacker entered the UK in 2023 and was given refugee status.
A court in Belfast heard that the victim had lost his left eye, has damage to his right eye, and injuries to his neck and back.
Alodid was remanded in custody.
Police Scotland said three members of the public were injured during the disorder in Glasgow.
Three men – two aged 18 and one aged 31 – were arrested and charged in connection with various offences in the city during the evening.
Officers also attended a number of smaller, but peaceful demonstrations in Edinburgh, Falkirk, Perth, Ayr and Paisley, and no arrests were made.
ACC Waddell said Police Scotland were "prepared to deal with any escalation in disorder" over the coming days.
He added: "Officers responded to disorder and violence, including incidents in Glasgow where members of the public were attacked because of the colour of their skin. Officers were also attacked.
"I would strongly condemn that offending and send a clear message that there is no place for racism and violence in Scotland.
"We understand the concerns people have about their communities and will always balance the right to freedom of expression with the need to tackle crime without fear or favour."
Widespread violence took place in Belfast on Tuesday evening.
Houses, cars and a bus were set on fire and all public transport was suspended in the city.
The Police Service of Northern Ireland (PSNI) said it had requested "mutual aid" from other forces across the UK.
Police Scotland said it would support arrangements, which could see officers from the force deployed if necessary.
In Glasgow, demonstrators with their faces covered chanted and carried Union flags and banners.
Officers from Police Scotland were deployed and diverted the crowd away from the city centre.
A number of streets and bridges were closed.
Javed Iqbal, who owns the St Enoch corner shop, said police officers advised staff to shut the doors half-an-hour early over safety concerns.
He said shop staff had told him about "masked men banging on the windows outside" shortly before they brought the shutters down at about 22:30.
He said: "It was safety first, the main thing is safety, for my staff and for the shop.
"The staff felt a little bit scared with that many people being outside. I could feel they were scared over the phone."
He added: "We should all be able to live together. Forget about the colour, forget about the race."
First minister John Swinney condemned the scenes as "unacceptable".
Posting on X on Wednesday morning, he wrote: "Scotland is a welcoming nation and those who choose to make their lives here are valued members of our communities.
"Racism, hatred and intimidation have no place in Scotland. We must stand against it."
Scottish Green MSP Iris Duane said the demonstration was an example of "opportunistic racism," adding groups were "preying on the fears of communities".
Labour's Paul Sweeney described the incidents as "brazen racist thuggery", calling those involved "an embarrassment to the people of Glasgow".
Meanwhile Reform's deputy Scottish leader, Thomas Kerr, said he did not condone the scenes, but called for people to "go out and protest" against uncontrolled illegal migration on Wednesday night.
