The first charge sheet has only named Singh's close aide and LIC agent Anand Chauhan as the accused, who is in the judicial custody.
Additional Sessions Judge Virender Kumar Goel was told by the ED that the second charge sheet will be filed within seven weeks.
The court allowed agency's plea seeking time and posted the matter for further hearing on September 4 and also extended Chauhan's judicial custody till then.
ED had claimed in the court that during Chauhan's interrogation, it was revealed that as an LIC agent, he had entered into a modus operandi to launder disproportionate assets by investing in LIC policies.
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The agency had alleged that Singh "while serving as a union minister, invested huge amounts in purchasing LIC policies in his own name and that of his family members through Chauhan".
"Virbhadra Singh, while functioning as a Union minister during the period from May 28, 2009, to June 26, 2012, acquired assets, disproportionate to his known sources of income to the tune of Rs 6,03,70,782 and further tried to justify the same in the form of agricultural income.
Chauhan is also chargesheeted, along with 82-year old Singh, his wife and others, in a separate case filed by CBI in the matter.
Singh and the other accused have denied all allegations made against them by the ED and the CBI.