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 sum sought by the government is more than twice as much as the $200 million fine that Columbia University said it would pay when it settled its clash with the White House last week.

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.