Prior to this, the United Kingdom on Sunday announced that it will be sending additional 1,000 ventilators from the UK's surplus supply to Indian hospitals as part of its commitment to support India's fight against the second wave of coronavirus.
Rahul Gandhi, a leader of the opposition Congress party, said this week "a lockdown is now the only option because of a complete lack of strategy by the Indian government".
"It is our solemn duty that Indian nationals who are undocumented or are in distress overseas and are not being given nationality or resident permit have to be taken back, and I think we will do that", said the senior MEA official.
The impoverished eastern state of Bihar ordered a lockdown until May 15 to curb the virus, Chief Minister Nitish Kumar said on Twitter.
This has overwhelmed India's chronically underfunded health care system, leading to dire shortages of hospital beds, drugs and oxygen, with patients dying outside packed clinics in New Delhi and elsewhere.
Modi has been criticized for not moving sooner to limit the latest wave of infections and for letting millions of largely unmasked people attend religious festivals and crowded political rallies during March and April.
"A streamlined and systematic mechanism for allocation of the support supplies received by India has been put into place, for effective distribution of the medical and other relief and support material", it added.
Covid-19: Sahpra approves vaccine use for high-risk pregnant women
Health Canada has put a hold on doses of the Johnson & Johnson COVID-19 vaccine that came into the country this week. It was paused after it emerged that there were six cases of vaccine-induced thrombotic thrombocytopenia in America.
Modelling by a team of government advisers shows cases could peak by Wednesday this week, a few days earlier than a previous estimate, since the virus has spread faster than expected.
The eastern state of Odisha also halted vaccination drives in 11 out of its 30 districts, local health officials told Reuters, citing paucity of resources.
Forecasts by India's two current vaccine producers show it will take two months or more to boost total monthly output from current figures of 70 million to 80 million doses.
"I am exhausted of standing in a queue. If I don't get it then, I will give up", said Anil Rajapure, a 49-year-old farmer in Maharashtra's Satara town, who has failed to get his first vaccine shot after three attempts due to either stocks running out or not arriving.
The numbers eligible to receive the vaccines have doubled to an estimated 800 million since May 1.
Despite being the world's biggest producer of vaccines, India does not have enough for itself.
In a virtual summit on Tuesday, Boris Johnson and Narendra Modi set the course for bilateral ties for the next decade, which Johnson said marked a "new era in the UK-India relationship" in a post Brexit environment.