The Trump administration has begun negotiations with several universities in an attempt to get them to pay millions of dollars in fines to ensure federal funding keeps flowing—as Columbia agreed to do this week.

The Trump administration is pressing for a deal with Harvard University that would require the Ivy League school pay far more than the $200 million fine agreed to by Columbia University, according to two people familiar with the matter.

The White House is pushing Harvard for a major financial settlement in negotiations to restore more than $2 billion in frozen funds, according to a person familiar with the talks — and demanding that Harvard cough up even more than Columbia University did earlier this week.