Emili is a female name.
Emili is considered the female Catalan form of Emil/Emilio or Aemilius. The Aemilians were one of the five most influential patrician families in ancient Rome.
The original form of Emili is “Aemilia”. Emili therefore means “coming from the Aemilian family”. This in turn is derived from the Latin “aemulus”, which means “emulate”, “compete”. That is why Emili also has the meaning “the eager”, “the industrious” or “the ambitious”.