Grisham also took to Twitter to thank the hospital's medical staff for taking "such good care" of Mrs Trump.
Dr. David G. Warnock, an emeritus professor of medicine at the University of Alabama at Birmingham and a past president of the kidney foundation, said doctors frequently perform an embolization if a biopsy or other diagnostic procedure causes bleeding.
An embolisation is a minimally invasive treatment that blocks one or more blood vessels or abnormal vascular channels.
"The potential problems from these benign tumors if they get big enough - (are) pain, bleeding, blood in the urine", Rogers said. Many times, embolization patients go home the same day or the next.
Earlier on Monday, Trump kept a light schedule with no public events and was planning to visit his wife.
Mrs. Trump is likely to remain at Walter Reed for the rest of the week. Mrs. Trump will likely be hospitalized for the rest of the week.
"This is one of those moments where all partisanship and rancor stops for a moment as we ALL wish First Lady Melania a swift return to good health!"
The first lady lived full time in NY during the administration's opening months so Barron would not have to change schools midyear.
Last week, Trump gave a speech in the Rose Garden to announce a new campaign that she's calling "Be Best".
"This morning, First Lady Melania Trump underwent an embolisation procedure to treat a benign kidney condition", the first lady's communications director, Stephanie Grisham, explains.
Her surgery is being called a success.
Sources at the White House said the visit to Walter Reed Medical Centre is expected later on Monday.
In her statement, Grisham also said, "The First Lady looks forward to a full recovery so she can continue her work on behalf of children everywhere".
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