The health ministry reported 366,161 new infections and 3,754 deaths, off a little from recent peaks.
Amid a crisis over medical oxygen and distress messages from patients, the country's Supreme Court has formed a National Task Force to ensure adequate supplies of the life-saving gas to hospitals.
Ambulance service employees seal the coffin of a Covid-19 victim before burial at a cemetery in the village of Pali, near Faridabad, in India on May 8.
According to the World Health Organization, India accounted for about 30 percent of the more than 91,000 infected people who died over the past seven days and about half of the approximately 5.5 million newly infected people.
Dr. Anthony Fauci and others have said a lockdown could prevent the spread of the virus.
"I believe several of the Indian states have already done that, but you need to break the chain of transmission".
The Indian Medical Association (IMA) has also called for a "complete, well-planned, pre-announced" lockdown.
Indian Punjab's Chief Minister Amarinder Singh disclosed that the Modi-led government at the Centre rejected the province's request to import liquid medical oxygen (LMO) from neighbouring Pakistan as the country faces a dire shortage amid record coronavirus cases and deaths, it emerged on Monday.
"You've got to shut down", Dr Fauci said on ABC's This Week television show.
Local government officials in the capital say the situation regarding the oxygen supply is improving.
"This is not the time to be lenient", Delhi Chief Minister Arvind Kejriwal said on Sunday.
Others said that it could also be a more unsafe variant of the virus coursing through the world's second-most populous country where people live in close proximity, often six to a room.
Shops selling fruits, vegetables and dairy items will stay open for some hours in the morning, while malls, gyms, theatres, bars and liquor shops are among the enterprises that will be shut, the government said.
Measures announced by India's central bank last week for relief to lenders and borrowers during the new devastating wave of infections will only delay the stress for financial institutions, Fitch Ratings said. As the demand grows for a nationwide lockdown, the Centre has so far maintained that it would use nationwide lockdown only as a last resort.