NEW YORK — The NHL labor talks are set to resume Tuesday with six owners and players scheduled to meet without a couple of the key figures from each side.

With negotiations to resolve the lockout at a standstill, the league and union finalized the details for the unusual bargaining session over the weekend. The meeting will include the small group of owners and players, staff members, and counsel on each side, but commissioner Gary Bettman and NHLPA executive director Donald Fehr will not be present.

The NHL announced Sunday that owners Jeremy Jacobs (Bruins), Ron Burkle (Penguins), Mark Chipman (Jets), Murray Edwards (Flames), Larry Tanenbaum (Maple Leafs), and Jeff Vinik (Lightning) will take part in the talks for the league.

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The union will announce its representatives on Tuesday. Canadian Press News Agency reported Monday that Pittsburgh’s Sidney Crosby, Buffalo’s Ryan Miller, and Chicago’s Jonathan Toews are among the players who could be selected for the meeting.

After a few days of wrangling, following the conclusion of talks between the sides and a pair of federal mediators, the NHL and the union agreed on parameters for talks that will keep the respective leaders on the outside.

Bettman proposed such a meeting last Wednesday when talks broke down and the mediators left the process.

‘‘Ultimately, we are just trying to find some meeting format that can gain some traction,’’ deputy commissioner Bill Daly said.

All games through Dec. 14 have already been wiped off the schedule, along with the outdoor Winter Classic on New Year’s Day and All-Star Weekend.

The lockout reached its 79th day on Monday, and at best, there will only be a shortened season if there is any hockey at all.

Jacobs, considered one of the hardline owners, and Edwards are the only members of the NHL’s group of six to have taken part in previous negotiations.