Rail Sidings Ltd want to convert 1.59 hectares of the site to house rolling stock and other rail related vehicles and equipment, including wagons and locomotives.
They have lodged a change of use planning application with Dumfries and Galloway Council.
And the firm says this is the first in a series of applications for the site, which was used by the MOD as an ammunitions depot up until 2010.
Rail Sidings offers storage options to rail operating companies. It currently has a site in Peterborough and, if approved, Eastriggs, will become its second operational site.
All the parts to be stored will arrive and leave by rail, not road.
Some vehicles will stay there for several months, but others will be just weeks.
The storage will be outdoors and remote security will be put in to complement the existing fencing.
The former depot is spread over an extensive area, including buildings, and all parts of the site are served by an internal railway system that connects with the mainline railway just west of Eastriggs.
According to Rail Siding’s planning statement, “the connection with the mainline, and most of the internal railways and buildings, have been maintained to a certain degree, and can be brought back into meaningful use with little or no work required.”
The nearest listed building is some distance away at Dornock so there will be no impact on it. However, users of the B721 will be able to see into the site.
The company’s application follows news last year of plans for a potential train stabling facility as part of phase two of high-speed rail development HS2.
The western leg of the scheme, which will go from Crewe to Manchester, included a site near the Scotland-England border to house up to 28 trains for cleaning, maintenance and equipment storage.