According to The Sun, Miller will ask Vaughan to explain why he thought muddled thinking and selection-wrecked England's team unity.
Miller was so perturbed by Vaughan's comments that he made a personal visit to the captain last night.
Miller revealed: "I need to know exactly what he said and clarify why he said it. If there has been an issue in the dressing room, I need to discuss it and find out where we stand. Everyone is entitled to his own opinions, but I need to find out what made Michael make those comments."
"This is professional sport. I'm the national selector, Michael is the captain - we're both in this together. We must make sure we're on an even keel."
The four selectors - Miller, James Whitaker, Ashley Giles and head coach Peter Moores - pick the squad.
Vaughan and Moores normally have the final say on the XI that takes the field.
In the aftermath of England"s crushing 10-wicket defeat against South Africa on Monday, Vaughan admitted selection looked 'confused'.
He said dropping Paul Collingwood and including Darren Pattinson, who was like a stranger in the dressing room, unsettled morale.