Police Scotland previously said five people were injured, including two officers, after hundreds of people wearing masks marched through Glasgow city centre on Tuesday evening.
Assistant Chief Constable Alan Waddell said people were “attacked because of the colour of their skin”.
Officers also attended a number of smaller, but peaceful demonstrations on Tuesday in Edinburgh, Falkirk, Perth, Ayr and Paisley, and no arrests were made.
It came as violence broke out in Belfast after Hadi Alodid, from Sudan, was charged with the attempted murder of Stephen 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.