9:28pm: The Rangers will not sign Abreu, Yahoo! Sports' Jeff Passan tweets. The Astros and Red Sox likely will not, either. The White Sox still appear to be the favorites, although there might still be a "mystery team" involved.

7:29pm: Cuban first baseman Jose Dariel Abreu is "finalizing" a six-year, $68MM contract, likely with the White Sox, FOX Sports' Ken Rosenthal tweets. Abreu is represented by Praver Shapiro Sports Management. The deal would be the largest contract ever for an international free agent. It would easily surpass the six-year, $42MM deal Yasiel Puig received from the Dodgers last June.

This afternoon, it emerged that Abreu was deciding between the White Sox, Red Sox and Astros. The Rangers, Marlins and Giants had also shown interest.

Abreu, 26, defected from Cuba two months ago. He put up massive numbers in Cuba's Serie Nacional, winning over-the-top praise for his power and earning comparisons to Ryan Howard. Some experts have raised doubts about his bat speed, however, and his defense and athleticism are not highly regarded. Tim Dierkes' profile of Abreu predicted he would receive a six-year, $54MM contract.