Major League Baseball and the Players' Association plan to meet again Tuesday after a Monday session led to the first bit of progress between the sides since the league locked the players out December 2, according to sources.

Monday's face-to-face meeting lasted about two hours. During the meeting, the union rejected three league proposals from the first post-lockout meeting between the sides 11 days ago, per sources.

The players remained steadfast in a number of their positions, including raising the minimum salary from $570,500 a year to $775,000, bumping the competitive balance tax threshold from $210 million to $245 million and instituting a draft lottery among non-playoff teams for the first eight picks.