As verbs the difference between engrossed and infatuated
is that
engrossed is (
engross) while
infatuated is (
infatuate).
As adjectives the difference between engrossed and infatuated
is that
engrossed is preoccupied with something to the exclusion of everything else or
engrossed can be (
of a document) finalized, written in large letters while
infatuated is marked by foolish or unreasoning fondness.