ANAHEIM -- Adding some left-handed power has been an ongoing search for the Marlins since Cliff Floyd was dealt to the Expos in 2002.
One option being pursued at the Winter Meetings is free agent outfielder David Dellucci, who belted a career-best 17 home runs last season.
Dellucci's agent, Gregg Clifton, said the Marlins contacted him about the 31-year-old on Sunday.
"The Marlins revised their offer," Clifton said.
Last season with the Rangers, Dellucci played in 107 games, had 331 at-bats and batted .242 with a career-high 61 RBIs.
Marlins general manager Larry Beinfest didn't specifically comment on Dellucci on Sunday.
But Beinfest noted: "Adding a left-handed bat to the club is one of our offseason objectives. We're continuing to explore that."
Clifton said Dellucci is fielding serious offers from the Marlins, Rangers and Diamondbacks. The Rockies also have shown interest.
"We're in a desirable situation, because we think we're going to win," Beinfest said.
Barring a major free agent signing or trade, the Marlins are seeking a left-handed hitter with some power to share an outfield spot with Juan Encarnacion.
In 2003, Dellucci saw action against the Marlins in the World Series. Then a backup for the Yankees, Dellucci played in a reserve role in four games, going hitless in two at-bats with a run scored.
Last season, Dellucci earned $750,000.
The only regulars that hit left-handed are Juan Pierre and switch-hitter Luis Castillo.
A year ago, the Marlins hoped to fill the left-handed power void when they obtained Hee Seop Choi from the Cubs for Derrek Lee. But Choi was dealt to the Dodgers in July as part of the trade that sent Brad Penny and minor league pitcher Bill Murphy to Los Angeles for Paul Lo Duca, Guillermo Mota and Encarnacion.
Showing interest in Dellucci was just part of a busy Sunday for Marlins' management in Anaheim.