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In the 2010 season, that is Harold Baines with 1628 career RBIs. Baines retired in 2001.

Next season, Rafael Palmeiro will be eligible for the HoF and had 1835 career RBIs. Chances are he will not get a sniff of the Hall due to his association with performance enhancing substances.

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Q: What player has the most rbi not in the hall of fame and is eligible?
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