Here's an interesting review of The
Departed which discusses the film's minor Joyce
connection.

An excerpt:


" Second, one of the key secondary characters
in the film, played by Mark Wahlberg, is named
Dignam. As befitting an ironic literary allusion,
Dignam, whose funeral is one of the central plot
points of Joyce’s Ulysses, turns out in The
Departed to essentially be the last man standing..
... Aside from the theme of losing one’s soul (or
the secular equivalent), the only connection
between “The Dead” and The Departed seems to be
that everyone is very Irish. Either Monahan wanted
to re-imagine Finnegans Wake as an American crime
epic, or he mistook James Joyce for James Ellroy."