Mount Etna, a Unesco world heritage site since 2013, can burst into life several times year, although the last major eruption was in 1992.
BBC science reporter Rebecca Morelle tweeted: "Many injured - some head injuries, burns, cuts and bruises".
Morelle said the explosion was "a reminder of how unsafe [and] unpredictable volcanoes can be".
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The BBC crew were at the scene to witness the spectacle, and although they suffered cuts, bruises and burns, they were physically well.
Etna is one of two volcanoes in Italy considered "decade volcanoes" because of how frequently they can erupt.
'Running down a mountain pelted by rocks, dodging burning boulders and boiling steam - not an experience I ever ever want to repeat, ' she added.
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Ten people were reported injured when the highly volatile volcano erupted and spewed clusters of the volcanic rock onto those below.
This image of the lava flowing from Mount Etna in Sicily, Italy, was captured today at 10:45 GMT (11:45 CET) by the Copernicus Sentinel-2A satellite. None are in serious condition, the sources said.
Etna is Europe's highest active volcano at 10,810 feet, The Atlantic noted, and historical accounts of its eruptions go back 3,500 years.
Rebecca Morelle and her BBC team were caught up in the explosion.
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Mount Etna is on the east coast of Sicily.