"I would say things are preliminary, but we're making progress," Marlins president of baseball operations Michael Hill said.
The primary mission of the Marlins at the Winter Meetings at the Gaylord Opryland Hotel & Resort is to acquire starting pitching. The club also has made it an offseason priority to lock up Gordon to an extension.
"He's part of that core," Hill said. "We talk about the core talent here that is going to allow us to be successful. He's very much a part of it. It's nice to see that he wants to be here as much as we want him to be here."
Last offseason, the Marlins signed right fielder Giancarlo Stanton (13 years, $325 million) and left fielder Christian Yelich (seven years, $49.75 million). Gordon is the only player on the current roster Miami is likely to sign to a long-term deal.
Gordon was acquired from the Dodgers at the 2014 Winter Meetings in San Diego. A native of Avon Park, Fla., the 27-year-old has also expressed his desire to stay in South Florida.
In his first year in Miami, the speedster was one of the most dynamic players in the Major Leagues. Gordon paced the National League in batting average (.333) and led the Majors in stolen bases (58) and hits (205).
Voted by the fans as the NL's starting second baseman in the All-Star Game, Gordon also claimed his first Rawlings Gold Glove and Louisville Silver Slugger Awards. He also was Wilson's top defensive second baseman.
Arbitration-eligible for the second time, Gordon made $2.5 million this past season. The Dodgers, however, covered his salary.
Gordon isn't eligible for free agency until 2019. According to MLB Trade Rumors, he's projected to make $5.9 million in arbitration if a multiyear deal isn't reached.
For months, the Marlins made it clear they were willing to extend their two-time All-Star second baseman.
"We've spoken with [Thurman], and talks are on-going," Hill said.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter @JoeFrisaro and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.