Assange is already the subject of an extradition request from the United States, where he is wanted for hacking.
While his two previous bail pleas have been rejected, he can make a third application if there is a considerable change in circumstances.
On June 2, Mallya's legal team and the Crown Prosecution Service will go head to head to reiterate factors for and against the businessman's extradition to Arthur Road Jail in Mumbai.
The legal team has alleged that Michel was unlawfully handed over to the Government of India, the procedure resembling more rendition than a lawful extradition process.
Hitesh Madhubhai Patel, 42, ran a call centre, one of five India-based operations which allegedly worked together in an operation targeting mostly South Asians living in the United States.
He will face another court hearing on May 2 on a request made by the US for his extradition for alleged computer hacking.
The WikiLeaks founder has been holed up at Ecuador's embassy in London since 2012, where he took refuge over fears of being extradited to the US over the 2010 WikiLeaks cable dump.
The 62-year-old former Kingfisher Airlines boss is wanted in India on alleged fraud and money laundering charges amounting to about Rs 9,000 crore.
China was excluded because of concerns over its poor record on legal independence and human rights.
A Joint Director-level officer has been deputed to leave for London Wednesday with necessary documents, they said.
After being arrested in London, a court remanded the fugitive billionaire in custody till March 29 after which he was transferred to Her Majesty's Prison (HMP) Wandsworth.
Ministry of External Affairs (MEA) Spokesperson Raveesh Kumar said India continued to actively follow up with the UK the case of Modi's extradition to India.
The legal processes are on and the probe agencies are looking forward to the next intimation by the authorities of that country, they added.
According to Sarosh Zaiwalla, Scotland Yard will not address extradition requests until and unless the accused (Modi) has been presented before the court.
The fugitive trader by the media for the second time this month at an eatery near his Centre Point home in London.