Versace declined to comment on the report.
The US fashion group has agreed to buy the Italian firm in a deal worth about €1.7bn ($2bn, £1.5bn), Reuters reported.
USA fashion group Michael Kors Holdings Ltd has sealed an agreement to take control of Italy's Versace, three sources familiar with the matter said on Monday, adding that an official announcement would be made this week.
Iran Blames US, Saudi Arabia & Israel for Deadly Attack on Military Parade
State media gave a toll of 29 dead and 57 wounded in the attack, including women and children who were spectators at the parade. State TV earlier described the gunmen as "Takfiri gunmen", a term previously used to describe the Islamic State group.
The Italian label is owned by the Versace family and the USA private equity group Blackstone, which holds a 20% stake.
The Versace family still owns 80% of the company.
Versace, which makes more than half of its sales in Asia, would be a crown jewel for Michael Kors Holdings (kors), which previous year purchased shoe brand Jimmy Choo for $1.2 billion.
The fashion house, founded by designer Gianni Versace in 1978, posted sales of €686 million in 2017 with net profits of €15 million. Chief executive Jonathan Akeroyd said earlier this year that annual turnover was soon expected to exceed €1bn.