The man dubbed the Bourke Street 'Trolley Man' has been granted strict conditional bail in a Melbourne court despite police attempting to oppose it.

Michael Rogers, the man who was caught on camera trying to fight off terrorist Hassan Khalif Shire Ali with a shopping trolley during last Friday's rampage, yesterday appeared in the Melbourne Magistrate's Court accused of multiple robberies.

Victoria Police allege the 46-year-old was on bail when he broke into a CBD cafe with another man and stole $500. Weeks earlier, they also allege he followed a St Kilda resident into an apartment and stole a $2000 bike.

A Victoria Police spokesperson confirmed to 9News.com.au Mr Rogers presented himself to authorities about 10pm yesterday. (Nine)

A Victoria Police spokesperson confirmed to 9News.com.au Mr Rogers presented himself to authorities about 10pm Friday.

He was questioned by detectives before being charged with two counts of burglary, two counts of theft and committing an indictable offence whilst on bail, and was remanded in custody.

The court heard today Mr Rogers has been sleeping rough for 18 years and has had ongoing issues with drugs, including the regular use of ice.

Michael Rogers, who has been sleeping rough for 18 years, was dubbed the Bourke Street 'Trolley Man' after he was caught on camera trying to fight off a terrorist. (9NEWS)

Police opposed Mr Rogers being granted bail, claiming he presents an unacceptable risk of re-offending in light of similar prior convictions.

Despite that, the Magistrate granted the bail under the condition that he report to police daily, abide by a curfew, undertake drug screenings and a court program to help him receive treatment, and is also banned from the Melbourne CBD area.

Mr Rogers is expected to re-appear in court on November 27.

Meanwhile, the fundraising page launched to thank Mr Rogers for his bravery and to give him a second chance in life has reached the goal of $145,000.

More than $144,000 has been raised for Mr Rogers. (GoFundMe)

The page was shared thousands of times online and has raised the money in just five days through more than 5180 individual donations.

The organiser of the account, Donna Zen, said the funds would be held in a trust account by accountants to ensure Mr Rogers is "financially guided as he moves forward".

"He's an absolutely incredible human," GoFundMe organiser, Donna Zen, wrote on the page.

It's been more than one week since Melbourne's CBD descended into chaos when Shire Ali lit his car on fire on Bourke Street. (9NEWS)

But while many have congratulated Mr Rogers for his "heroic actions" on Bourke Street, others have questioned whether the fundraiser should have been launched.

It appears the comment section of the fundraising page has been closed.

Others on the fundraising page are now calling for the money to be donated to charity.

9News.com.au has contacted the owner of the GoFundMe page but has not received a response.

It's been more than one week since Melbourne's CBD descended into chaos when Shire Ali lit his car on fire on Bourke Street.

He then fatally stabbed restaurateur Sisto Malaspina and injured two others before being shot by police.