Trump’s comments come after a federal judge blocked the Trump administration's effort to bar the university from enrolling international students.

The vetting will go beyond student applicants and includes faculty, employees, contractors, guest speakers and tourists, according to the cable seen by NBC News.

Finals are wrapping up on U.S. campuses, but international students are struggling with a bigger test: Stay put during the summer break or travel home and risk not getting back. The Trump administration’s growing crackdown on foreign students—threatening schools’ ability to enroll them,

Trump has been targeting Harvard for months, saying that the school had fostered liberal ideals and antisemitism. Harvard has argued in its lawsuit that the administration has violated the First Amendment through its targeting of international students. O’Leary jabbed the administration over its behavior toward Harvard on Friday.

A Harvard graduate student reveals campus turmoil as the Trump administration moves to ban international enrollment and freeze $3 billion in funding.

Harvard University held its commencement ceremony today as a federal district judge said she will issue a preliminary injunction blocking the Trump administration from making changes to Harvard’s student visa program indefinitely.

If the Trump administration succeeds in barring international students from enrolling at Harvard, it will benefit U.S. competitors such as China, experts say.

President Donald Trump on Wednesday claimed the “last thing” he wants to do is hurt Harvard, while his administration is still relentlessly hammering the elite university and as he mounted a new demand for the school to cap its admission of international students.