Burlington went into administration at the beginning of the month with insolvency practitioner Tenon Recovery.
It is understood that one interested party dropped out of acquiring the business as a going concern prior to Blue making an offer to buy the assets of the business.
However, Paul Mursell, managing director of Blue, told PrintWeek that he was informed by Tenon that it was still hoped the business could be sold as a going concern.
He also claimed to have picked up "two large contracts" from the company.
Tenon Recovery would not comment on the current situation, although it did confirm that Burlington continued to trade and the intention remained to sell it as a going concern.
Blue bows out of Burlington bid
East-London commercial printer Blue Print Company has said that it does not expect to buy failed Cambridge printer Burlington Press.