Latos, a top-of-the-rotation starter, is in his final season of eligibility for arbitration. He has filed at $10.4 million, while the Marlins countered at $9.4 million.
Phelps, who could either start or work out of the bullpen, is entering the arbitration process for the first time. He's filed at $1.875 million, with the team's offer at $1.4 million.
Dunn, in his second arbitration year, is seeking $2.6 million according to MLB Trade Rumors, with the team filing at $2.355 million.
The arbitration panel will pick either the high or low figure in the cases of each player. Hearings are scheduled from Feb. 1-21. At most, the three salaries would increase Miami's overall payroll by $14.875 million. If the club wins all three cases, their totals will be $13.135 million.
Miami entered Friday with seven arbitration-eligible players. The team reached agreement with four of them. MLB.com has confirmed the figures for Steve Cishek ($6.65 million), Henderson Alvarez ($4 million), Dee Gordon ($2.5 million) and Aaron Crow ($1.975 million).
The Marlins now have 11 players under contract at $57.225 million, but the Dodgers are paying the $10 million owed to Dan Haren, as well as Gordon's $2.5 million. That drops the club's commitments to $44.725 million.
The team has been projecting a payroll of around $65 million, and it is pretty much on the mark, in terms of its obligation. The figure will exceed $78 million, but the Dodgers are paying $12.5 million and the Yankees are on the hook for $3 million of third baseman Martin Prado's $11 million salary.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter @JoeFrisaro. This story was not subject to the approval of Major League Baseball or its clubs.