France will reopen restaurant and cafe terraces from 19 May - along with museums, cinemas, theatres, and concert halls under certain conditions. A ban on domestic travel will be lifted next week but a curfew will remain.
The easing of lockdown rules comes despite high numbers of infections and hospitalisations - 26,538 new cases were reported on Thursday.
French health officials said they had detected the first three cases of the Indian B.1.617 variant in the country. All of those infected had travelled to India.
Most of Portugal will move to the final phase of its lockdown easing from May, and the border with Spain will reopen for travel after a three-month closure.
Portugal imposed a strict lockdown in January as cases surged and the hospital system came close to collapse.
Restrictions were eased from mid-March and schools, restaurants, cafes, shopping malls, museums, and other non-essential services have reopened with strict rules to prevent a resurgence.
Portugal has suffered 836,033 cases and 16,974 deaths since the start of the pandemic.
Hit by a recent third wave of COVID infections that has struck Europe, Spain is slowly recovering and hoping to welcome overseas holidaymakers from June using digital health certificates at all 46 Spanish airports in May, according to tourism minister Fernando Valdes Verelst.
He said the COVID certificate will allow people to prove they have had a vaccination or recent negative COVID test, but added it is not a "magical wand".
The hard-hit country has so far recorded some 3.5 million cases of coronavirus as well as 78,080 deaths.
Also hit by a recent surge in infections, Italy is getting closer to its goal of administering a half-million COVID-19 vaccines a day.
Premier Mario Draghi's office said provisional data showed that some 497,993 doses were administered on Thursday, a daily record.
Now around 19.4 million doses have been administered following a sluggish start to the vaccine rollout, with 5.75 million people receiving both jabs, according to the health ministry.
Restaurants and cafes have now reopened for outdoor dining across most regions after businesses were forced to close down for months., to the relief of businesses that were forced to shut down for months.
There were hopes the government would announce a relaxation of travel rules this week, as the health ministry's last ordinance set travel restrictions in place until 30 April.
As it stands, people visiting or returning to Italy from other parts of the EU must continue to quarantine on arrival.
Ireland will reopen all retail stores, personal services and non-residential construction next month and hotels, restaurants and bars will open earlier than expected in early June.
A plan for the return of international travel should be agreed by the end of May 0 and a decision on indoor hospitality and mass gatherings will be made at the end of June.
Ireland's unemployment rate was 24.2% at the end of March, with 403,000 people on temporary coronavirus-related jobless benefits - up from 206,000 last September.
A third wave of the pandemic seems to have peaked, with a record number of vaccinations likely to turn the tide, health officials have said.
Nearly 1.1 million people were vaccinated on Wednesday - more than 1% of the population, and more than on any other day so far.
But hospitals remain overloaded despite the number of cases per 100,000 falling on Thursday for the third consecutive day to 155 - its lowest level in two weeks.
There were 24,736 new cases on Thursday - almost 5,000 fewer than the number recorded a week ago - and 264 new deaths.
The justice ministry has suggested exempting vaccinated people or those who have recovered from COVID-19 from restrictions.
Brazil has become the second country to pass 400,000 COVID-19 deaths following the US, with 100,000 fatalities seen in a single month.
Loosening social restrictions and a slow vaccination programme have contributed to a surge in infections that has pushed the country's health system to the brink.
On Thursday there were 3,001 new deaths registered and almost 70,000 new cases.
Less than 6% of Brazilians have been fully vaccinated against COVID-19, according to Our World in Data.
President Jair Bolsonaro is being investigated by a Senate panel over his handling of the crisis.
He has said he will be the last to get a vaccine and he has attacked mayors and governors who enforce restrictions to fight the virus.
New York City is aiming to fully reopen on 1 July after what its mayor described as satisfactory progress on vaccinations among more than eight million residents.
Across the US, Americans are being offered free beer, cannabis, doughnuts, saving bonds, a chance to win a vehicle - all to encourage them to get vaccinated.
Nationally, 82% of people over 65 and more than half of all adults have received at least one dose of vaccine, but the number of people being vaccinated daily has fallen from an average of 3.2 million in mid-April to 2.5 million last week
The number of coronavirus infections passed 18 million on Thursday after another day of record-setting figures - there were 379,257 new cases and 3,645 new deaths.
Gravediggers are working around the clock to bury victims and hundreds of bodies are also being cremated in makeshift pyres and car parks.
The misery in India is prompting people in neighbouring Pakistan to rush to vaccination centres.
Previously, many Pakistanis had avoided registering for the free COVID-19 vaccines since the government started offering them in March.
But more than 100,000 doses were administered on Thursday for a second consecutive day, with the country's minister for planning and development Asad Umar saying the new interest was encouraging.
Pakistan on Thursday reported 151 virus-related deaths in 24 hours, one of the country's highest daily tolls.