Victorian Premier Jacinta Allan has been accused of letting down all of her citizens after police declared they have had "gutful" following violent attacks on officers at a protest in Melbourne.

Hundreds of people demonstrating against mass migration gathered on the steps of Parliament House in Melbourne just before midday before marching through the surrounding streets.

March for Australia demonstrations also took place in most capital cities on Sunday - including Sydney, where at least 5,000 protesters marched through the CBD.

In retaliation, activist group Campaign Against Racism and Fascism congregated at the State Library in Melbourne at 11am after marching from Camp Sovereignty.

A large police presence was observed with a barricade erected on Bourke Street to keep the two groups

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