The president also said it would not be the first time he has covered such expenses following the death of a servicemember.
What are the details?
Guillen went missing from Fort Hood in April, and her body was found more than two months later in a shallow grave. A fellow soldier suspected of killing her committed suicide as investigators closed in to arrest him, and the victim's family says she was sexually harassed prior to her murder but did not report it out of fear of retaliation.
Fox News reported that the president invited the Guillen family to the White House to share their story, and said during the meeting that he did not want what happened to Guillen to be "swept under the rug."
According to the New York Post, President Trump offered to pay for Vanessa's funeral, adding, "I don't even know if you need help, maybe you don't need help from a financial standpoint. I have no idea. I just think it's a horrific thing that happened and if you did need help, I'll be there to help you."