On Friday, the Marlins interviewed Reds pitching coach Bryan Price, and according to Ken Rosenthal of FOX Sports, former big-league manager Larry Bowa also met with team executives about the position.
The Marlins had their organizational meeting on Thursday in New York, and the club is expected to name a manager shortly after the World Series.
Bowa is believed to be the only candidate that has previously managed in the big leagues.
A former Gold Glove-winning shortstop, the 66-year-old Bowa managed the Padres in 1987-88, and he guided the Phillies from 2001-04. He last coached with the Dodgers from 2008-10.
Bowa currently is an analyst on the MLB Network.
Another potential candidate is Luis Gonzalez.
Gonzalez, highly respected as a player, currently is a special assistant with Arizona. He has a connection with the Marlins, playing for them in 2008, his final big league season.
Which direction the Marlins are headed will likely determine who will be named the next manager.
The team is coming off its second-straight, last-place finish, going 69-93 in Guillen's lone season.
Regardless of who is managing, there are a number of needs that must be addressed, including third base, second base, left field, first base and the bullpen.
The organization also is in the process of stocking up its Minor League system. The next manager will be asked to take part in the development of players.
Redmond, 41, is still considered the frontrunner. He was a backup catcher with the Marlins from 1998-2004, and even during his playing days he was frequently mentioned as a future big league manager. This year, he managed Toronto's Class A club, Dunedin .
Redmond told The Associated Press he is following the advice of Jim Leyland, his former manager with the Marlins and the current manager of the American League-champion Tigers.
"Jim Leyland told me a long time ago when I was getting ready to retire, 'If you want to manage in the Majors, you've got to go get some experience,' " Redmond told the AP. "I took that to heart and went out and took a job with the Blue Jays in A ball and got down to the grass roots, where you've got to teach and develop.
"I've learned a lot. I had a lot of great kids, and to see them improve is very satisfying. On top of that, we went to the playoffs both times. That was fun, too."
Weighing in the favor of Price is that the Marlins will be seeking to build around pitching.
Price is highly respected, and is credited with improvements made on the Reds' staff. All five of Cincinnati's starters made 30 starts this year.