Bargaining over a collective agreement resumed between the Maritime Union and Ports of Auckland on Thursday, but there was little resolution.
It is the company's 10th offer to the union over a new collective agreement.
Ports of Auckland says its current offer provides significant additional detail on a rostering system that will take into account union members' preferences with shifts and days off.
The offer still includes a pay increase of 10%, with fulltime employees guaranteed 160 hours of work in each four-week cycle.
After just one day of talks, the company is calling for a change of tack, saying it wants to use the Employment Relations Authority's facilitation process.
The union is considering that option.
The parties will meet again on Friday.
