Deputy commissioner Bill Daly told the Associated Press that there is "nothing firm" scheduled for Tuesday but the potential is there to meet again.
The topic and location of the potential meetings will be determined on Monday according to USA Today.
While the two sides had what can only be described as unproductive meetings last week, they still didn't spend much time addressing the core economic issues (how to divide up the pie that is the NHL's hockey related revenue) that are preventing the two sides from reaching a new deal. It's a topic that not only wasn't discussed last week, it hasn't been discussed much at all since the old collective bargaining agreement expired a month ago.
Last week's meetings had a heavy focus on the NHL's drug testing policy and other secondary issues.
The lockout has already forced the cancellation of the first two weeks of the regular season (which was supposed to start Thursday). So far that's a total of 82 games, including what was supposed to be the banner-raising for the Stanley Cup-champion Los Angeles Kings (along with a few other interesting opening weekend matchups).
Based on the current pace of the talks it seems inevitable that more games will be canceled in the coming days.