So far, they had removed 620 tonnes of debris, which was largely container-based scrap metal.
The latest project in the wider salvage operation involved removal of cargo and container debris in the ship's No. 4 hold, and to locate and assess the current state of two containers of beads originally located in one of its bays.
Once these two containers had been located, they need to be assessed to determine whether the beads remain, the spokesman said.
"If they are still in there, Resolve will develop a plan to remove them."
The Rena's owners and insurers are still to confirm its plans what to do with the wreck - the bulk of it being the submerged stern section - but has flagged its preference to make the site safe and leave it.
Under this plan, the company would have to apply for a resource consent, likely leading to a protracted process that could result in an Environment Court battle.
The cost of dealing with the ship, smashed into pieces on the reef off the Tauranga coast, had now shot past $275 million and is set to become one of the most expensive maritime salvages in history.