The Latest: More than 1,000 people rescued from the sea in a single day by Greek coast guard

Syrian migrants show their train tickets to Germany and demand being let on the train but Keleti train terminal in Budapest, Hungary, was closed Tuesday morning Sept. 1, 2015 for an indefinite time. (AP Photo/Pablo Gorondi) (The Associated Press)

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Syrian migrants show their train tickets to Germany and demand being let on the train but Keleti train terminal in Budapest, Hungary, was closed Tuesdsy morning Sept. 1, 2015 for an indefinite time. (AP Photo/Pablo Gorondi) (The Associated Press)

Migrants wait behind a fence guarded by police as the Keleti train terminal in Budapest, Hungary, was closed Tuesday morning Sept. 1, 2015 for an indefinite time. (AP Photo/Pablo Gorondi) (The Associated Press)

BUDAPEST, Hungary – The latest developments in the tens of thousands of migrants flooding into countries across Europe. All times local (CET):

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10:45 a.m.

Greece's coast guard says it has rescued more than 1,000 migrants and refugees from the sea off the coasts of eastern Aegean islands in a single day, as the flood of people fleeing war and poverty to seek shelter in the European Union continues unabated.

The coast guard said Tuesday it had picked up 1,192 people in 31 separate search and rescue operations from Monday morning to Tuesday morning off the islands of Lesbos, Chios, Samos, Agathonissi, Farmakonissi, Kos and Megisti. The numbers do not include hundreds more who reach the islands themselves from the nearby Turkish coast each day, usually in overloaded inflatable dinghies.

The number picked up from the sea in a single day is usually in the hundreds.