Prior to this meeting, the PM held bilateral discussions with the PMs of Australia and Japan.
PM Modi will also hold meeting with Australian counterpart Scott Morrison.
US has announced the purchase of additional 500 million doses of Pfizer's coronavirus vaccine.
Indians travelling to the UK will be quarantined even after taking two doses of Covishield.
India will start exporting the vaccines from October under the 'COVAX' program of WHO.
PM Modi will reach the United States of America on Wednesday.
India is among the 33 countries from where fully vaccinated travelers will be allowed to enter the US.
President Macron and PM Modi also discussed issues like Afghanistan crisis.
The delta variant of the coronavirus is currently a major cause of concern in most of the countries.
The 18-year-old gunman was shot down about 1,300 kilometers (800 miles) east of Moscow.