This is the second meeting of Singh, the Congress Deputy Leader in Lok Sabha, with the party president in less than a fortnight.
"I have made known my views and it is up to them (the high command) to decide," he said after the meeting, when asked about his demand for removal of his bete noire Partap Singh Bajwa from the post of state Congress chief.
He spoke in similar vein when asked about reports of senior party leader Ambika Soni being the possible candidate to replace Bajwa.
Amarinder had last met Sonia and Rahul together on August 20 and held lengthy deliberations with the two leaders over the party's plans in Punjab.
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Bajwa and state leader Rajinder Kaur Bhattal had also separately met Rahul and Sonia.
Meanwhile, ahead of the possible restructuring of Punjab unit, many state leaders have launched separate agitations against the Akali-BJP government, besides organising rallies, in an apparent bid to show their support base and individual strength.
The Punjab Congress has been a divided lot ever since it lost two successive elections in the state and former CM Singh was replaced by Bajwa as the party chief.
With the state set to go to polls in early 2017, the demand for replacing Bajwa have grown louder and the party leadership is grappling with the issue for almost a year now.
The emergence of AAP in Punjab in last Lok Sabha polls by securing four of the 13 seats has also rung alarm bells in the Congress camp, given the fact that the state polity so far was bipolar between Congress on one side and the Akali Dal-BJP on the other.