Tivoli Squash This page first published: Mar 13, 2005 · Updated: May 9, 2018 · by CooksInfo. Copyright © 2020 · This post may contain affiliate links · This blog generates income via ads · Tivoli is a spaghetti-type squash. It is about the same size as regular spaghetti squash, but with off-white rind. It grows on a bush-type plant. History Notes Tivoli Squash was released in 1990.