They never met as head coaches in the NFL. By the time the Dolphins and the Browns met in 2004, both teams had fired their respective head coaches earlier that season.
Davis, of course, was the defensive line coach under defensive coordinator Wannstedt at Dallas from 1989 to 1992, succeeding him at the coordinator position once Wannstedt took the head coaching job in Chicago. The Bears never played Dallas during Davis' tenure there either. You can safely assume both coaches are familiar with each other's defensive schemes.