Lapid's term could be the short one as he take over the caretaker government ahead of Israel's election which was scheduled to take place on November 1.
A parliamentary committee approved to dissolve parliament on Wednesday, with a final vote expected early next week raising the possibility of a comeback by former PM Benjamin Netanyahu.
India is also looking at furthering its ties with Israel, UAE and US in a new grouping.
Tensions have been heightened with the Palestinians recently following a series of deadly Palestinian attacks in Israeli cities and Israeli military raids in the occupied West Bank.
The Israeli Prime Minister and his wife were welcomed by Uttar Pradesh Chief Minister Yogi Adityanath.
Israeli Prime Minister Benjamin Netanyahu arrived in New Delhi on Sunday on a six-day visit that will also take him to Mumbai and Gujarat.
In his conversation with Macron, the Israeli premier said that "Trump's remarks should be taken seriously, and whoever wants to keep the nuclear deal would be wise to fix it".