A self-confessed neo-Nazi could face serious charges over a hate-filled speech at an anti-immigration demonstration in Sydney.

Charges have already been laid over a separate incident hours after yesterday's march, when two protesters clashed with police after a brawl broke out at a CBD pub.

Police were called to Bar Broadway on George Street about 5.40pm when a group allegedly started abusing passersby.

They used pepper spray to subdue two men, who were arrested and charged with assaulting police.

Sean Raycus and Mathew Smith both faced court today and were granted bail.

Outside court, Raycus was asked if he wanted to apologise to police.

"I don't remember what happened but yes I do," he said.

Smith also spoke outside court.

"They could have just said, 'Look guys, let's calm it do

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