It's a variation on Avery, Ariel and Avril. It's unique, feminine, just beautiful and french sounding.

The name Avriel(le) has been around for girls since at least the 1980s, though it has never been very popular. It is probably a modern creation, a blend of Avril/Avery/Ava + the -elle ending.
See Also: Avery, Avriella

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