The private equity firm, which upped its shareholding in the company to 84.7 per cent in 2008, could stand to make about €850m from the sale, which includes the company’s €800m debt.
Such a return would be almost three times the firm’s investment in Ducati, according to a report in Financial Times Deutschland.
It originally acquired one share less than 30 per cent in the company in 2006 from Texas Pacific Group at €0.85 a share.
Ducati, which was founded in 1926, produces motorbikes for both road and racing and is best known for its high-performance vehicles.
Last month Investindustrial announced it had raised more than half of the €1.25bn target for its latest fund less than two months after launching the vehicle.
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