The Armenian government said late on Sunday that a total of 1,050 people had crossed into the country from Nagorno-Karabakh, an enclave in Azerbaijan populated mainly by ethnic Armenians.
"As of 22:00 (1800 GMT), 1050 people entered Armenia from Nagorno-Karabakh," the government said in a statement.
Reuters eyewitnesses at the border said Nagorno-Karabakh residents with access to a car and fuel were leaving the region in large numbers.
The Armenians of Karabakh - a territory internationally recognised as part of Azerbaijan but previously beyond Baku's control - were forced to declare a ceasefire on Sept. 20 after a lightning 24-hour military operation by the much larger Azerbaijani military.
"Our people do not want to live as part of Azerbaijan. Ninety-nine point nine percent prefer to leave our historic lands," David Babayan, an adviser to Samvel Shahramanyan, president of the self-styled Republic of Artsakh, told Reuters.
"The fate of our poor people will go down in history as a disgrace and a shame for the Armenian people and for the whole civilised world," Babayan said. "Those responsible for our fate will one day have to answer before God for their sins."
In the Karabakh capital, known as Stepanakert by Armenians and Khankendi by Azerbaijan, Armenians attended funerals for their dead fighters while some packed up their belongings. A young boy was photographed by Reuters sitting in the back of a truck waiting to be evacuated.
The Armenian leaders of Karabakh said that all those made homeless by the Azerbaijani military operation and wanting to leave would be escorted to Armenia by Russian peacekeepers.
Reuters reporters near the village of Kornidzor on the Armenian border saw some heavily laden cars pass into Armenia. Armenia said 377 refugees from Karabakh had arrived by Sunday evening.
It was unclear when the bulk of the population would move down the Lachin corridor that links the territory to Armenia, where Prime Minister Nikol Pashinyan has faced calls to resign for failing to save Karabakh.
Mass exodus
In an address to the nation, Pashinyan said some humanitarian aid had arrived but the Armenians of Karabakh still faced "the danger of ethnic cleansing".
"If proper conditions are not created for the Armenians of Nagorno-Karabakh to live in their homes and there are no effective protection mechanisms against ethnic cleansing, the likelihood is rising that the Armenians of Nagorno-Karabakh will see exile from their homeland as the only way to save their lives and identity," Pashinyan said, according to an official transcript.
A mass exodus could change the delicate balance of power in the South Caucasus region, a patchwork of ethnicities crisscrossed with oil and gas pipelines where Russia, the United States, Turkey and Iran are jostling for influence.
Last week's Azerbaijani victory appears to bring a decisive end to one of the decades-old "frozen conflicts" of the Soviet Union's dissolution. President Ilham Aliyev said his "iron fist" had consigned the idea of an independent ethnic Armenian Karabakh to history and that the region would be turned into a "paradise" as part of Azerbaijan.
Armenia says more than 200 people were killed and 400 wounded in the Azerbaijani military operation. The fate of the ethnic Armenian population has raised concerns in Moscow, Washington and Brussels.
First Karabakh war
Nagorno-Karabakh, known as Artsakh by Armenians, lies in an area that over centuries has come under the sway of Persians, Turks, Russians, Ottomans and Soviets. It was claimed by both Azerbaijan and Armenia after the fall of the Russian Empire in 1917. In Soviet times it was designated an autonomous region within Azerbaijan.
As the Soviet Union crumbled, the Armenians there threw off nominal Azeri control and captured neighbouring territory in what is now known as the First Karabakh War. From 1988-1994 about 30,000 people were killed and more than a million people, mostly Azeris, displaced.
In 2020, after decades of skirmishes, Azerbaijan, backed by Turkey, won a decisive 44-day Second Karabakh War, recapturing territory in and around Karabakh. That war ended with a Russian-brokered peace deal that Armenians accuse Moscow of failing to guarantee.
The Armenian authorities in the region said late on Saturday that about 150 tons of humanitarian cargo from Russia and another 65 tons of flour shipped by the International Committee of the Red Cross had arrived in the region.
With 2,000 peacekeepers in the region, Russia said that under the terms of the ceasefire six armoured vehicles, more than 800 small arms, anti-tank weapons and portable air defence systems, as well as 22,000 ammunition rounds, had been handed in by Saturday.
Space for 40,000 people from Karabakh had been prepared in Armenia. Azerbaijan, which is mainly Muslim, has said the Armenians, who are Christian, can leave if they want.
Pashinyan blamed Russia publicly on Sunday for failing to do enough for Armenia which he said would review its alliance with Moscow.
"Some of our partners are increasingly making efforts to expose our security vulnerabilities, putting at risk not only our external, but also internal, security and stability, while violating all norms of etiquette and correctness in diplomatic and interstate relations, including obligations assumed under treaties," Pashinyan said in his Sunday address.
Russian officials say Pashinyan is to blame for his own mishandling of the crisis, and have repeatedly said that Armenia, which borders Turkey, Iran, Azerbaijan and Georgia, has few other friends in the region.
(FRANCE 24 with Reuters)