He is also known for playing Kevin, Kim's younger brother, in Tim Burton's Edward Scissorhands.
At age nine, Oliveri starred as Paul Bard in an episode of ABC Afterschool Special.
Also that year, he landed the role of Nick Szalinski, the son of Rick Moranis's character in Honey, I Shrunk the Kids.
He starred in a 1990 episode of the TV series Monsters and then landed the role of Kevin in Edward Scissorhands with Johnny Depp and Winona Ryder.
Oliveri was asked to reprise his role as Szalinski again two years later for the 3D science fiction short film used in the Honey, I Shrunk the Audience!