The original deadline of 27 April was initially put back to 30 April.
In a filing earlier this week, court approval was granted to further extend the Chapter 10 bankruptcy protection and rehabilitation process until 30 June.
Temporary trustees Ronen Matry and Omer Serviansky said the plan to continue to operate the Highcon business with a reduced staff of 20 was proceeding as planned.
Matry stated there was at least one possible buyer, a serious group “that is in constant contact with us”, and the temporary trustees had also reached out to other potential bidders, mainly from abroad.
The trustees hope this will yield offers for the company and/or its assets.
The temporary trustees must report back to the court on their progress by 19 June.
Israel-headquartered digital post-press developer Highcon Systems had sales of $18.2m (£13.6m) last year. The firm ran out of cash in March.
Its Beam and Euclid digital die-cutting and creasing systems are in use at 64 customers around the world, with 85 systems installed.
UK customers include Linney, Durham Box and Glossop Cartons & Print.
The firm’s assets include a range of associated patents.