"I've given enough evidence to prove my case," he added.
The judge, Chief Magistrate Emma Louise Arbuthnot, said Mallya had been freed on the "same bail conditions as before" which he must abide by.
Earlier, the UK's Crown Prosecution Service (CPS), which is arguing the case against Mallya on behalf of the Indian government, had confirmed the arrest.
"Vijay Mallya has been arrested on money laundering charges and will be appearing in court today," a CPS spokesperson said.
Sources in New Delhi said the arrest was pursuant to the extradition request made by the Indian government based on money laundering charges against Mallya.
The case is being probed by the ED, and the central probe agency has already filed a charge sheet against him and others in a Mumbai court.
Arbuthnot has been hearing Mallya's extradition case at the Westminster Magistrates' Court on his previous arrest warrant executed by Scotland Yard in April.
He had been arrested by Scotland Yard on an extradition warrant on behalf of the Indian authorities on April 18.
He had attended a central London police station for his arrest and was released on conditional bail a few hours later after providing a bail bond worth 650,000 pounds, assuring the court of abiding by all conditions associated with extradition proceedings, such as the surrender of his passport and a ban on him possessing any travel documents.
Mallya's trial in that case is scheduled for two weeks, starting December 4.