Mallya is fighting extradition to India on charges of fraud and money laundering amounting to around Rs 9,000 crores.
The lawmaker asked if two Finance Ministers during the Congress-led United Progressive Alliance rule were involved in sanction of loans to Mallya.
The Bangalore police, through the ED, told Chief Metropolitan Magistrate Deepak Sherawat that it was unable to attach Mallya's properties as some of them had already been attached by the ED of Mumbai Zone and remaining assets were part of the liquidation proceedings.
The order grants permission to the UK High Court Enforcement Officer to enter the 62-year-old tycoon's properties in Hertfordshire, near London.
The PMLA court summoned Mallya after Enforcement Directorate filed a plea seeking action against him under the fugitive economic offenders ordinance in the over Rs 9,000 crore bank fraud case.
"I always had honest intentions to settle and there is ample proof. Anyway, I hope the sale of assets is approved for banks,” Mallya said.
The 62-year-old liquor baron, who fled the country in March 2016, has been living in London since then despite summons from Indian courts and law enforcement agencies to appear before them for trial in various cases.
Vijay Mallya, who sneaked out of India in March 2016, said he has become the "poster boy" of bank default.
Officials said the central probe agency filed an application before a special court in Mumbai, under the recently promulgated Fugitive Economic Offenders Ordinance, that empowers it to confiscate "all linked assets" of an absconding loan defaulter.
Judge Andrew Henshaw had refused to overturn a worldwid a worldwide order freezing Mallya's assets on May 8 last month
The issue of the final signing of the memorandum of understanding on illegal immigrants was raised by UK Minister of State for Countering Extremism Baroness Williams during her talks with Union Minister of State for Home Kiren Rijiju here yesterday.
Through an interim order in January 2017, the regulator had barred Mallya and six former officials of United Spirits from the securities markets in the case related to illegal fund diversions.
According to a report in Motorsport.com, Vijay Mallya is likely to hand his board role in Force India to his son Siddharth.
New Delhi also asked London not to allow the British territory to be used for anti-India activities by Kashmiri and Khalistani separatists.
Actor Govinda will be seen playing the role of Vijay Mallya in Pahlaj Nihalani's film.
The victory for the banks will enable them to enforce the Indian judgment against Mallya's assets in England and Wales.
The 62-year-old has represented Karnataka twice in the Rajya Sabha. The state goes to polls on May 12 and the counting of votes will be done on May 15.
Vijay Mallya, wanted in India in a money laundering case and an alleged bank fraud case, 'gave away' Tipu Sultan’s sword as it was bringing him bad luck?
The group will also "make recommendations for policy decision in respect of tax risks of the migrating HNIW population".