However, there was no official word from the party over the candidature and a senior leader associated with the ticket finalization exercise said he would not be able to say anything on record on the matter.
Party sources maintained Singh's name is under serious consideration. It is believed that if Singh, a known detractor of Modi, is fielded from Varanasi, it will help the party make the going tough for the BJP's Prime Ministerial candidate.
Digvijay has become a member of the Rajya Sabha from Madhya Pradesh last month. He has been the AICC general secretary in-charge for quite a long time.
Efforts to contact Singh did not succeed. However, there were indications from the state leaders that Singh was examining the possibility.
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If a local candidate is to be fielded, the name of Rajesh Mishra, a former MP, is being considered seriously.
Mishra, who represented the seat from 2004 to 2009, has alrady said he has "no problem" to face Modi in the polls.