The results in Karnataka were declared on May 13 but the party has not finalised its chief ministerial face yet and the process of consultations is on.
Gandhi drove to Kharge's residence and held a closed-door meeting with the Congress chief.
Union Education Minister Dharmendra Pradhan on Thursday rejected allegations of paper leak in medical entrance exam National Eligibility-cum-Entrance Test-Undergraduate (NEET-UG), saying there is no evidence of it.
In its Karnataka assembly poll manifesto, which was released on May 2, the Congress said it is committed to take firm and decisive action against individuals and organisations such as the Bajrang Dal and the PFI "spreading hatred" among communities on the grounds of caste and religion.
The party also promised reservation to minorities on basis of their population after the caste census.
Every young diploma and degree holder in the country will have the right to apprenticeships in the private and government sectors, he said.
Congress leader Rahul Gandhi and his convoy will spend the night on a farm in Bhadohi as the district administration has denied permission for his stay at a government college citing a police recruitment exam, a party member said on Thursday.
Seemingly expressing his displeasure against ministers demanding three more deputy chief minister posts in Karnataka, state Congress president D K Shivakumar on Tuesday said the party would respond to them appropriately.