DREAMers, Immigrants, and Refugees (DIRe) Legal Aid Act This bill directs the Department of Justice to make grants to nonprofit legal services providers with immigration law expertise to provide immigration-related legal services and advice to an alien who: (1) is present in the United States as a lawful permanent resident; (2) has received a grant of deferred action under the Deferred Action for Childhood Arrivals program, has been admitted as a refugee (or the alien's spouse or parent has been so admitted), or has been determined to be qualified for such admission; and (3) has been ordered removed, is in removal proceedings, or is at risk of being denied U.S. entry or admission. The Department of Homeland Security shall provide such aliens: (1) with provider contact information; and (2) if in detention, with an opportunity to arrange representation by such a provider. The Under Secretary for Science and Technology shall carry out a study on the outcomes for individuals in removal proceedings with legal representation compared to the outcomes for such individuals without legal representation.