Saturday is the final day for interested parties to make an offer for the team who have finished at the foot of the Clydesdale Bank Premier League this season.
Local reports have indicated the Glasgow-based football agent Paul Davies could make a firm bid.
However officials at Gretna remain unsure whether the football club will continue to exist beyond the coming days.
Many players and coaches have already left the club, either through redundancy or after being released from their contracts.
The remaining staff have been called to an 11am meeting by administrators Wilson Field on Monday, where Gretna's fate will be announced and they may face redundancy.
It is understood the administrators will not make any announcements over the weekend.
If an offer for the club is made, it will be put to the creditors who will have to give it their backing.