Now in its 11th day, the wrangle over pensions has cut daily Norwegian oil production by an estimated 13 percent and gas output by around 4 percent, but gas exports to Europe have remained largely unaffected.
"We are to meet today at 1500 (1300 GMT) at the state mediator's office. We will try to find a solution to the strike," Eli Ane Nedreskaar, a spokeswoman for OLF, told Reuters.
"We can find the solution if the unions can let go the pension issue, because we can't give them extra pensions," she added.
Wage talks broke off on June 24 after the OLF refused to negotiate an early retirement scheme for the sector's 7,000 workers.
Industri Energi, a labour union which represents more than half of Norway's offshore workers, said it expected tough talks ahead.
"These negotiations will probably be uphill," Leif Sande, the leader of the union, which represents more than half of 7,000 offshore workers on the Norwegian continental shelf, told Reuters.
"I am expecting that the employers will stick to their demands when we go into mediation later today," he added.
Unions had demanded wage increases, better overtime pay and the right to retire at 62, but the OLF has refused to negotiate pensions, adding that the demands were not in line with the aim of a government pension reform to keep people working longer.
Unions have pointed to the fact that top executives of Norwegian state-controlled oil and gas firm Statoil have retained early retirement rights, while those were taken away from workers.
Statoil said in an email to Reuters the early retirement changes applied to all its employees, except for those who have early retirement benefits as part of their individual wage agreement, a scheme which includes current group management and around 900 former Hydro employees.
The strike shut down five Statoil-operated oil and gas fields on the Norwegian continental shelf. The strike also targeted Statoil's Heidrun field, and BP's Skarv field, which has not yet started producing.