I stand corrected, you are right, this is what happened with Ducti (from Wikipedia):
In 1996, Texas Pacific Group bought a 51% stake in the company for US$325 million; then, in 1998, bought most of the remaining 49% to become the sole owner of Ducati. In 1999, TPG issued an IPO of Ducati stock and renamed the company Ducati Motor Holding SpA. TPG sold over 65% of its shares in Ducati, leaving TPG the majority shareholder. In December 2005, Ducati returned to Italian ownership with the sale of Texas Pacific's stake (minus one share) to Investindustrial Holdings, the investment fund of Carlo and Andrea Bonomi.
And this is the latest on MV Agusta, again from Wikipedia:
In July 2007 MV Agusta Motor S.p.A, sold the Husqvarna motorcycle brand to BMW for an undisclosed amount.[3] According to MV Agusta president Claudio Castiglioni, the sale was a strategic step to concentrate all of the company's resources in order to expand MV Agusta and Cagiva presence in the international markets having more financial resources for new model development.[3]
Following years of stalled ownership, the Guggenheim's "Art of the Motorcycle" icon, the F4 model, was ready for a refresh, but the financial status of the company did not allow it. On July 11, 2008, Harley-Davidson announced they had signed a definitive agreement to acquire the MV Agusta Group for US$109 million (€70m),[4][5] completing the acquisition on August 8, 2008.[6]
On October 15, 2009, Harley-Davidson announced that it would divest its interest in MV Agusta;[7] on August 6, 2010, Harley-Davidson announced that it had concluded the sale of MV Agusta to Claudio Castiglioni and his wholly owned holding company, MV Agusta Motor Holding, S.r.l.
MV Agusta announced that for the first three months of 2010 bike sales increased by 50%.[8]