On December 6 police said they believed the trio were dead.
The search was paused at about the same time.
But today police confirmed they had been looking for the men again.
“Due to a change in climatic condition, police, alongside Search and Rescue staff and Department of Conservation, conducted a further search at a location of interest on the mountain,” said Aoraki Area Commander Inspector Vicki Walker.
“Staff travelled up the mountain via helicopter, and while the search for the men was unsuccessful, a ski pole was located.”
Police have been in contact with the families of the three men, to update them on today’s search efforts.
“We are continuing to follow the process to formally suspend our search, however we remain poised to reactivate the search if fresh information or credible sightings are reported, especially from the climbing community,” said Walker.
Earlier this month Walker said police “remain poised to resume” the search it if there is fresh information or credible reports or sightings.
The feasibility of any recovery operation will be carefully considered and managed, Walker added. The coroner will be advised.