As much as two-thirds of the sun disappeared from view behind the moon, something that hasn't occurred in Switzerland since August 1999. A more minor eclipse happened in August 2008.
The Swiss federal health office warned people, especially children, to wear special eye protection rather than use homemade gear to see the eclipse.
The eclipse was first seen Tuesday over Jerusalem, where the sun appeared to have taken a large bit out of its upper right section.
A solar eclipse happens when the moon lines up between the sun and the Earth, casting a lunar shadow on the Earth's surface and obscuring the solar disk. During a partial solar eclipse, only part of the sun is blotted out.
Western Europe woke up to a sunrise eclipse. Astronomers expected the greatest eclipse over Sweden, where about 85 percent of the sun will be blocked.
"It's thanks to the position of the moon and so the shadow (of it) is very small," said Niclas Henricson, head of the Tycho Brahe observatory in southern Sweden.
Ten people had gathered at Henricson's observatory ready to check it out with their mobile telescopes should the cloudy weather disperse. He said Swedes only have such an opportunity about once every 45 years; their next full solar eclipse will be in 2126.
Polish viewers were treated to live television coverage of the eclipse from the southern city of Krakow, where the shadow of the moon could be seen gradually blotting out the sun.
The golden croissant-like shape was visible in the dark sky in the morning. However, most of Poland was covered by clouds that blotted out the spectacular sight.
A sunset eclipse will be visible from central Russia, Kazakhstan, Mongolia and northwest China.