The members of the Congress core committee, presided over by former Kerala CM AK Antony, met to discuss upoming polls in Jharkhand, Maharashtra, Haryana and Jammu and Kashmir.
Khan added his intent behind writing the letter was to ensure a makeover of the party and there were no hopes for any personal gains.
With Congress chief himself mulling over his resignation, Pilot's future hangs in the balance, sources said.
Stalin spoke to the Congress top leader over phone and "appealed to him to give up the idea of resigning as party president", the DMK said.
Lalu Prasad said that if the Congress appointed a non-Gandhi as its president, it would be accused of being a Gandhi family "puppet".
Priyanka's meeting with Rahul comes at a time when the Congress chief is adamant on resigning from the party's top post.
Though his resignation was rejected by the CWC, those who had information regarding the meeting had revealed that Rahul Gandhi was adamant on not continuing as the party president.
The sources added that responsibility will be fixed for the party's debacle in the general elections and actions will unfold in the next 10 days.
Congress spokesperson Randeep Surjewala said, CWC has given Congress President the right to make changes to restructure the party, a plan for this will be brought soon.
The only other time that a Gandhi family member has lost from this constituency was in 1977 and it was Rahul's uncle late Sanjay Gandhi who was defeated in an anti-Emergency wave.
It’s a party that seems to attract obituaries towards itself by a kind of magnetic force of history. Mahatma Gandhi himself had wished for it.
Chief Minister Ashok Gehlot and the party's state unit president and Deputy Chief Minister Sachin Pilot would accompany Gandhi on Thursday.
The roadshow is seen as a reply to BJP chief Amit Shah and PM Modi's rallies here on Tuesday.
When Congress president Rahul Gandhi reached the venue at 1.25 pm, thousands of Congress workers and UDF supporters welcomed him by shouting slogans.
Shah was speaking at his first election meeting in western UP, where voting will be held on April 11. The saffron party had won all eight Lok Sabha seats in the region in the 2014 Lok Sabha elections.