Alou, 40, had been a target of the Mets' pursuit in past seasons, with the club seriously challenging the San Francisco Giants for his services in the 2004-05 offseason.
Slowed somewhat by injuries last season, Alou played in 98 games for San Francisco, batting .301 (104-345) with 22 home runs and 74 RBI. He had been reported to be a candidate for the Oakland Athletics' designated hitter vacancy after Frank Thomas signed with the Toronto Blue Jays.
The terms of Alou's contract are yet unclear, though reports determined different lengths.
SI.com's Jon Heyman reported Friday that the Mets' offer to Alou consisted of one year at $8 million, while the New York Post put it at $9 million. FOXSports.com's Ken Rosenthal reported that the Mets had been discussing a two-year contract with Alou.
A deal with Alou would represent yet another sign that prospect Lastings Milledge would become available in a potential trade.
The Mets have returning starters Carlos Beltran and Shawn Green to round out their outfield, and could fill in from the bench with Endy Chavez and 25-year-old Ben Johnson, a prospect acquired from the San Diego Padres last week.
Glavine deadline approaching: The Mets' deadline to exercise a $14 million option on left-hander Tom Glavine for the 2007 is approaching on Monday, although the team is not expected to pull the trigger.
Instead, the Mets are believed to be waiting to work out an alternate agreement with Glavine, who still has not decided if he wants to pitch in New York or Atlanta next season. Glavine has said that he hopes to have a decision made by the beginning of the winter meetings, which kick off Dec. 4 in Orlando, Fla.