Chief Minister Arvind Kejriwal is scheduled to meet Mukherjee in the evening.
Sources said Jung briefed the President about issues relating to posting and transfer of officials in Delhi government.
They said Jung was also taking legal opinion about issues relating to authority over bureaucrats in Delhi government.
The tussle over appointment of Gamlin as acting chief secretary of Delhi had turned into a full-blown war between the AAP government and Jung with Kejriwal alleging that the LG was trying to take over the administration.
Despite Kejriwal's strong opposition, Jung had appointed her to the post on Friday.
A number of senior bureaucrats were caught in the crossfire between Jung and Kejriwal. The AAP government on Monday directed all its officials to apprise the chief minister or minister concerned about any oral or written direction from the LG or his office before following them.
The LG has also hardened his stand maintaining that he was the main authority in dealing with transfers and postings of senior bureaucrats.