The move is seen as indication of a "truce" in the political circles between the LG and the AAP government which have been involved in a bitter fight over administrative control in the national capital.
Sources said it was a weekly review meeting called by the Lt Governor which is usually attended by Sisodia but today Kejriwal also accompanied him.
Sources described it as a "fruitful meeting" between the Lt Governor and the Delhi Chief Minister adding the issue of two home secretaries was also deliberated upon.
There has been a turf war between the central and the city governments over appointment of Home Secretary and ACB chief. Currently two home secretaries -- one appointed by the LG and another by AAP government are functioning.
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The hosting of lunch by Jung for Kejriwal and Sisodia came a day after the Chief Minister made a blistering attack on the Centre, saying no government in history with such an overwhelming mandate had been "harassed" the way AAP dispensation is being "targeted".
"It never happened in the history of the world especially after getting such a huge mandate. What Advaniji is saying is not wrong, it seems. Everywhere people are saying that Narendra Modi is not letting Kejriwal work," he had said in Delhi Assembly yesterday.
The government has asked ACB's Additional Commissioner S S Yadav, backed by Kejriwal, to supervise the investigation as well as overall functioning of the anti-graft body, days after the Delhi High Court refused to restrain Meena from entering office as sought by the Delhi government.