The machine, which was restarted yesterday (2 December), has not been in operation since the fire in the pulp factory on 20 November.
PM 12 has an annual capacity of 230,000 tonnes and manufactures the book paper Holmen Book and the magazine paper Holmen TRND.
The clean-up and repair work at the mill will continue in order to be able to fully restart the entire pulp factory, including the PM 11 production line.
Holmen Paper chief executive Nils Ringborg said: “We’re naturally glad that we’re once again able to produce paper and start delivering to our customers.
“Damage to the cabling and engines is more extensive in the section that provides PM 11 with paper pulp. Our current assessment is that PM 11 will be restarted in mid-January.
The firm said it was “impossible to say” the impact the fire would have on UK customers but stressed it is working closely with all of its customers to decrease the impact of the situation.
The fire took place in the mill area of the pulp factory in the north of the factory site. There were no injuries or stock damages and the two paper machines at the mill were not damaged. However, other manufacturing and electricity equipment was damaged.
An enquiry into the cause of the fire is in progress but has not yet been concluded.
The incident is expected to have a negative impact on results for the fourth quarter amounting to SEK30m (£2.3m).
Holmen manufactures paperboard, printing paper and sawn timber and runs forestry and energy production operations. The group has around 3,400 staff and in 2014 its net sales were SEK16bn.