There are two separate days. Today is the deadline for teams to offer arbitration to their former players who declared free agency. Kerry Wood, Jim Edmonds, and Daryle Ward (and others) fall into this category. The other day (this year, December 12th) is sometimes referred to as the deadline for teams to offer contracts for the upcoming season to unsigned players under team control. "Unsigned players under team control" fall into two separate categories - those with enough service time to be eligible for arbitration (Chad Gaudin, Reed Johnson, Michael Wuertz, and others) and those with not enough service time to be eligible for arbitration (Geovany Soto, Sean Marshall, Randy Wells, and others). If the Cubs "offer a contract" to Chad Gaudin, they are, in effect, offering him arbitration (if the two sides cannot otherwise reach an agreement). If the Cubs "offer a contract" to Geovany Soto, they are essentially giving him a take-it-or-leave-it offer, as he has no leverage to negotiate a higher salary. You will sometimes hear this called "renewing a player's contract" and this class of player is sometimes referred to as "auto renewal" players (or "0-3 players", referring to the amount of service time they have). If Soto doesn't like his renewed contract salary, he can swallow hard and play or sit out. The latter is almost never done. Failing to offer a contract to an unsigned player under team control is often called "non-tendering" him, as in not "tendering" (offering) a contract. This can be done to either arb eligible players (fairly common, to avoid paying them an arb-determined salary) or to auto renewal players (extremely uncommon, as there is little incentive to avoid paying them a league-minimum-ish salary). You probably already knew most of this, but I hope this helps. Feel free to add, correct, or clarify as necessary.