If the judge denies the motion, Sony wants the case moved to New York, where the company has its U.S. headquarters.
U.S. District Judge Michael Mills in Oxford has not ruled on the motions. He has given the Faulkner estate until Jan. 22 to file briefs opposing them. Sony would then have until Feb. 8 to respond.
"Midnight in Paris" was released in 2011. It stars Wilson, who travels to Paris and finds himself spending time with literary greats including F. Scott Fitzgerald, Ernest Hemingway and Gertrude Stein.
In the film, the Wilson character describes his experience by saying, "The past is not dead. Actually, it's not even past. You know who said that? Faulkner. And he was right. And I met him, too. I ran into him at a dinner party."
In "Requiem for a Nun," the Faulkner passage reads: "The past is never dead. It's not even past."
Sony claims the quote is "fair use," a legal term meaning the user doesn't have to license or pay for it.
Lee Caplin, who represents the estate, disagrees.
Caplin told The Associated Press at the time the lawsuit was filed that even though the movie snippet is short, it's a key in summing-up the whole film, and that Allen took it because Faulkner said it better.
"This is Mr. Faulkner's most famous quote," Caplin said.
The studio argues in its motions that the quote comes from a "relatively obscure work" and the nine words have been paraphrased by others.
The lawsuit is based in the Lanham Act, a 1946 federal law that prohibits unfair competition and false advertising. The estate says the use of the quote suggests Faulkner sponsored or endorsed the film.
The lawsuit seeks unspecified compensatory and punitive damages.