Two days after Maryland celebrated the career of retiring coach Gary Williams, the school’s search for Williams’s replacement could be turning to Notre Dame Coach Mike Brey.

Brey will meet with Maryland officials on Sunday to discuss the vacant men’s basketball head coaching position, according to a source close to Brey and to the Maryland athletic department who was not authorized to speak on the record.

After Williams announced his retirement, it appeared the focus of Maryland’s job search was Arizona Coach Sean Miller. Maryland Athletic Director Kevin Anderson was expected to travel to meet with the Wildcats coach in Las Vegas, where Miller was at a coaching clinic, according to sources, who requested anonymity because they were not authorized to speak publicly about the situation.

However, Arizona announced late Saturday night on its athletics department’s Web site that Miller had agreed to a contract extension to remain in Tucson.

“Sean and I have had many positive conversations and have been working on a revised contract for some time,” Arizona Athletic Director Greg Byrne said in the statement. “I’m pleased to confirm that we have agreed to an amendment to Sean’s contract that we hope will keep him in Tucson for many years to come.”

Terms of the extension were not immediately released.

In a separate statement posted on Arizona’s Web site, Miller said: “Over the last two days, the amount of inaccuracies that surrounded this entire process has been very disappointing. Hopefully, this will put an end to such speculation. . . . While it’s flattering to be mentioned as a candidate for job openings, such speculation only means that our staff is doing great things here in Tucson.”

Sources said there is mutual interest between Maryland and Brey, who has deep roots in the area. One source close to the Maryland athletic department and to Brey said Brey wants the Maryland job.

Maryland already has reached out to representatives for Brey, the Chicago Tribune reported Thursday afternoon, and Brey has a contract extension in the works to remain with the Irish, a source told the newspaper.

Brey, this past season’s Big East coach of the year, has a 238-120 record in 11 seasons at Notre Dame. But Brey has made just one round-of-16 appearance (2003) during his tenure, and the Fighting Irish were upset by Florida State in the second round of this year’s tournament.

Born in Bethesda, Brey graduated from DeMatha and George Washington, and later returned to the area as an assistant for five seasons under Morgan Wootten.