"Before Yeonis Cespedes left Miami a few days ago, the Marlins apparently gave the Cuban-born outfielder something to think about.

While MLB.com has learned that no firm offer has been made, a baseball source confirmed the parties are in the process of exchanging figures.

According to reporter Eric Reynoso of Cafe Fuerte, the Marlins have a six-year, $40 million offer on the table for the 26-year-old. The Miami Herald reports the offer is less than $40 million.

For months, the Marlins have clearly stated that they are interested in signing Cespedes.

An offer was anticipated during his visit to Miami on Wednesday, where he toured the team's new ballpark and met with club officials. Until the Cafe Fuerte report, nothing was confirmed on a contract offer.

Cespedes on Thursday returned to the Dominican Republic, where he has established temporary residency. "