"He (Mallya) had invited me for his birthday. He had sent his officer who had said there is a room booked for me," Mr Parsekar told reporters last evening.
"I folded my hands and told him that I am better off in my home," the Chief Minister said.
On allowing banks to confiscate Mr Mallya's mansion - Kingfisher Villa - he said law will take its own course.
"I have heard that he has a property in Goa somewhere. If it is to be attached then law will take its own course," Mr Parsekar said.
Under fire over dues running to the tune of Rs 9,000 crore of long-grounded Kingfisher Airlines in unpaid loans and interest, Mr Mallya left the country on March 2, triggering a political row with Congress and BJP trading charges.
The Enforcement Directorate(ED) has summoned the liquor baron to appear before it in Mumbai on March 18 as part of its money laundering probe over the alleged default of payment of dues to IDBI bank by Kingfisher Airlines.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.