President-elect Donald Trump is considering former rival Sen. Ted Cruz for U.S. attorney general, according to reports.

Mr. Trump met Tuesday with Mr. Cruz, a Harvard Law School graduate who previously served as associate deputy attorney general at the Justice Department.

The possibility of putting Mr. Cruz in charge of the Justice Department came up as another possible pick for attorney general, former New York Mayor Rudy Giuliani, has been mentioned for secretary of state, Bloomberg News first reported.

Mr. Cruz’s name also has been floated as a possible pick for Supreme Court justice.

Mr. Trump dismissed speculation about his Cabinet choices late Tuesday in a tweet: “Very organized process taking place as I decide on Cabinet and many other positions. I am the only one who knows who the finalists are!”

Mr. Cruz did not confirm speculation about a possible job offer when he emerged from the elevator in the lobby of Trump Tower in New York, where Mr. Trump lives and the transition team offices are located.

“This election was a mandate for change. The American people rose up and spoke overwhelmingly to say that the path we’re on, it didn’t work. And they want change,” the Texas senator said, according to a pool report.

Mr. Cruz said voters had given Republicans a historic opportunity by granting them control of the White House and both chambers of Congress.

“It is now time for us to deliver. And I look forward to working hard to help lead the fight to actually accomplish the conservative agenda that Donald Trump and Mike Pence and Republicans across this country campaigned and promised the voters to deliver,” he said.

Mr. Cruz was competitor for the GOP presidential nomination and became the final rival that Mr. Trump had to vanquish before securing the nomination.

Mr. Cruz stubbornly refused to endorse Mr. Trump, including giving a speech at the Republican National Convention in which he told delegates to “vote your conscience.” To some, the speech begged for a floor fight for the nomination and resulted in a widespread anger and resentment.

In the final weeks of the campaign, however, Mr. Cruz stumped for the GOP nominee.

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