Greece, Belgium and Spain are among the countries on the list but Portugal and the US are not.
Arrivals from Germany and Italy will also no longer need to isolate on either leg of the journey.
But a court also says India is entitled to compensation for the deaths of its two fishermen in 2012.
BBC World Service
BBC
Aid workers say that a ship carrying 180 rescued migrants is being refused permission to dock in either Italy or Malta.
Charity SOS Mediterranee, which operates the vessel, the Ocean Viking, says its requests for entry have been turned down repeatedly.
Those on board have been saved from various boats after setting off from Libya.
Italy and Malta feel they’re forced to take in too many migrants, and they say other EU states need to share more of the burden.
Italy’s sunken resort town
As the UK alters its restrictions, how are other European countries reopening after lockdown?
Giancarlo Rinaldi
South Scotland reporter, BBC Scotland news website
The internees were among hundreds who died when the Arandora Star was torpedoed in July 1940.
The world record haul of 14 tonnes of Captagon pills were found in containers at the port of Salerno.
Whale freed from fishing net off Italian coastThe Italian coastguard cut the trapped sperm whale free off the coast of Lipari, north of Sicily.
A regional leader in northern Italy says bear numbers are out of control but wildlife groups protest.