The Twins avoided Monday's night's deadline to tender contracts to their three remaining unsigned arbitration-eligible players, Trevor Plouffe, Brian Duensing and Anthony Swarzak.
Each was offered a contract before the 11 p.m. CST deadline, the team announced.
Plouffe and Swarzak are in the first year of arbitration, while Duensing is in his second.
Duensing, the left-handed reliever, made $1.3 million in 2013. He's due a raise that could bring his 2014 salary close to $2 million. Plouffe could also be in the $2 million range, according to Rhett Bollinger of MLB.com. Swarzak, the right-handed long reliever, earned $502,000 in 2013.
Players have until Jan. 14 to file for arbitration, according to Bollinger. Players and the team then have until Jan. 17 to exchange figures, and generally the two parties meet in the middle.
If the Twins had not tendered contracts by the deadline, a player could become a free agent.