Jung reached the Prime Minister's Office (PMO) at South Block here around 11.30 AM and spent a little over an hour inside.
Sources said it was a courtesy meeting. Yesterday, in his brief resignation statement, Jung had thanked Modi for his help and cooperation.
Rejecting speculation that he quit as pressure was mounting on him, Jung was quoted as saying by NDTV that there is no politics behind his decision and that he wanted to quit earlier as well.
"After three and a half years, I requested the PM again on Tuesday that I would like to resign on personal grounds," Jung was quoted as saying.
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Jung also said that he would like to write a book.
Over the last two years, Chief Minister Arvind Kejriwal has time and again taken on Jung over his perceived closeness to Modi.
The Delhi Chief Minister said he was invited by the Lt Governor for the breakfast meeting that came a day after Jung's sudden resignation from the post.
Sources said Jung and Kejriwal spoke about the bitter- sweet times and spent some light moments.
Deputy Chief Minister Manish Sisodia also called on Jung.
Asked why Jung quit, Kejriwal said, "He resigned due to personal reasons."
Though publicly Kejriwal had made stinging attacks on Jung on many occasions, both of them are known to share a cordial relationship at personal level.
"He wants to spend time with his family and focus on academics. He said that he could not quit due to things like chikungunya (outbreak in the city)."
Sisodia said he shared a "good rapport" with Jung and thanked him for his cooperation especially in areas of education. "We will work for the people if Delhi irrespective of circumstances be that easy or tough."
Sources close to Jung had said yesterday his resignation has nothing to do with his acrimonious relationship with the AAP government over matters of jurisdiction and he was contemplating to quit for last few months.
The Chief Minister was in Ranchi yesterday when the news of Jung's resignation broke.
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