The "rumors" are:
HE is divorcing HER.....she's been rumored to have had "affairs" with both Bobby Flay and Matt Lauer.
Her Italy location gives her time for the custody battle to be played out.
(Her father, of course, was the movie producer, Dino DeLaurentis ).
The mother is alive....
the entire DeLaurentis family is on location in Italy...the stress is on "family" so that Giada wins "points" in the custody battle.