Singer Francesca Gregorini, who is the daughter of actress Barbara Bach and the stepdaughter of Beatles drummer Ringo Starr, has paid $1.6 million for a condominium unit on Carbon Beach in Malibu, Calif., according to public records.

Most recently, Gregorini, 38, attracted headlines for having been in a relationship with actress Portia de Rossi until it ended in 2004. Today, she sings and plays the guitar and the bass.

Gregorini has owned a variety of properties around L.A. over the years, including a house at 5230 Linwood Drive in Los Feliz that she and de Rossi purchased for $2.1 million in 2002 and sold for $3,150,000 in mid-2005, after their break-up. And in 2005, Gregorini paid $1,765,500, according to public records for a 2,727-square-foot house at 4429 Dundee Drive in Los Feliz, according to public records. She continues to own that house.

Now, Gregorini has purchased a two-bedroom, 1,197-square-foot Malibu condo as well. The unit that Gregorini bought is in a newly renovated condo complex known as “The Malibu,” which was built in 1963 and has a heated pool and a sundeck. Unfortunately, no listing information was available on the unit that she purchased.