The Trump administration is conducting a far-reaching investigation into whether Yale University’s admissions practices violate anti-discrimination laws, prompting one of the country’s most elite schools to pursue settlement talks with the government, according to three people briefed on the matter.

The Justice Department last month accused Yale’s medical school of giving illegal preferential treatment to Black and Hispanic applicants. But the department’s review is reaching beyond the medical school, the people said, encompassing undergraduate and law school admissions as well.

The expansive inquiry demonstrates the aggressive approach the Trump administration is taking to enforce its interpretation of the Supreme Court ruling that effectively banned race-conscious admissions three years ago. It shows the administration’s intensifying focus on admissions and represents a new front against Yale, which has largely been spared in the White House’s effort to punish elite colleges and reshape academia.

Yale’s quick moves to try to reach an agreement with the government suggest it does not want a high-profile, drawn-out fight similar to the one involving Harvard University. The status of a potential agreement was unclear on Friday, but Yale recently offered a proposal to the government, according to the three people briefed on the matter. The people, who have ties to the Trump administration or to Yale, spoke on the condition of anonymity because of the sensitivity of the talks.

On Friday, Yale referred to a statement it issued last month that said its medical school was “confident in the rigorous admissions process” and admitted students showed “exceptional academic achievement and personal commitment.” The Justice Department and the White House did not respond to requests for comment.

The administration has said nothing publicly about its evidence against Yale beyond a six-page letter it released in May. The letter included a summary of a Justice Department analysis of testing data and a reference to an internal presentation that officials believed might indicate Yale’s lingering focus on diversity in admissions.