Congress sources said that Gandhi interacted with the MLAs freely, and sought their suggestions for strengthening the organisation in Punjab and improving the party's prospects in the assembly polls slated for early 2017.
Most of the MLAs who met the Congress vice-president today are believed to be loyal to former chief minister Amarinder Singh.
Former deputy chief minister Rajinder Kaur Bhattal, who is also seeking a leadership change and unity among leaders, also met the party vice-president.
Singh would soon be meeting Congress chief Sonia Gandhi ahead of a final announcement on the restructuring, which was necessitated by demands for replacement of Partap Singh Bajwa as the party chief.
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Meanwhile, Gandhi will be meeting party's district unit presidents from tomorrow and seek their opinion on who could lead the party to victory in the next assembly polls. During the one-to-one meetings today with around 18 legislators, Gandhi sought their views on whom to hand over the party reins.
Both the Congress president and the vice-president had earlier held several rounds of discussions with various party leaders including Singh.
The Congress leadership is learnt to be keen on holding another round of consultations with the party leaders from Punjab, before taking a final decision on the matter.
Congress, which was defeated by the Akali-BJP combine in the state twice in 2007 and 2012 assembly polls, is keen to come back to power.