Promptly latching on to the remarks, BJP asked whether there were questions about the "efficacy of Rahul Gandhi's leadership" within Congress.
"Chidambaram and any non-Gandhi has complete freedom to fight elections for (the post of) party president. Nobody is stopping them... No one has stopped any non-Gandhi from contesting the AICC presidential election.
"Chidambaram is free to contest... Gandhi family has not stopped any non-Gandhi from contesting elections," Singh said.
"I think so... Someday yes," Chidambaram had said when asked in an interview by a news channel if a non-Gandhi could become the Congress president. Asked about a timeline for the same, he had, however, quickly added, "I do not know."
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Chidambaram had also said that the top Congress leadership, including party chief Sonia Gandhi and vice- president Rahul, should speak more often and put in place a timetable that would enable the party to play the role of an effective opposition.
The party had later also asked its members to speak directly to its leadership and not give suggestions through the media.
With Singh's remarks bringing the issue back in focus, BJP leader Nalin Kohli said that the Congress needs to look at whether it would like to continue being "rooted in a single family".
"It is for them to decide whether they want the leadership of the party to be rooted only in a single family... Or expand it. The real issue is what the Congress party sees itself in the democratic set-up.
"No concern of BJP (as to) who leads the Congress party. It is completely the prerogative of the Congress," he said.