The building complex owned by Mordashov was seized by Italian authorities on Friday.
The property was taken over by the government.
According to the report, Mordashov's building complex is worth around $116 million and is located on the Mediterranean island of Sardinia.
Insider did not get a response from the office of Draghi.
Several billionaires, many of which are among Russian President Vladimir Putin's closest allies, have recently been included in a series of sweeping global sanctions against Russia.
The Mordashov's yacht was seized by the Italian authorities in March, and this is the second time that Italian officials have seized assets.
According to UK filings, Insider's Kate Duffy reported that Mordashov transferred control of a $1.1 billion stake in a mining company to his wife.
Forbes data shows that Mordashov is Russia's wealthiest man. He has a net worth of $29.1 billion.
He told the Russian news agency that he didn't know how sanctions imposed on him would help promote the settlement of Russia's attack on Ukraine.
He said that he had nothing to do with the emergence of the current tension and that he did not understand why the EU had imposed sanctions on him.
Roman Abramovich is a Russian billionaire who wants to sell his English soccer club. The sale has been halted because of the sanctions imposed by the UK government.
A group of bipartisan lawmakers in Congress is preparing to introduce the "Yachts for Ukraine" Act, which would allow authorities to seize and sell off Russian assets in order to provide aid to Ukraine.