The Marlins placed Meyer on the bereavement list Monday.
Miami recalled reliever Zach Brzykcy to serve as a temporary replacement on the active roster for Meyer, who will remain away from the team from 3-to-7 days while he tends to a personal matter. Since Meyer last pitched Saturday and wasn't scheduled to pitch during the Marlins' three-game series versus Texas to begin the week, he could be ready to rejoin the club when his next turn through the rotation comes up Friday in St. Louis.