Areli /are-li/ [3 sylls.] as a girls' name. Areli's root is Latin, and the meaning of Areli is golden. Areli is an alternate spelling of Aurelia (Latin): feminine of Aurelio. Areola is a familiar surname.2000 U.S. Census). Charted below is the baby name popularity of Areli for girls. Areli was first listed in 2001 and reached its peak rank of #843 in the U.S. in the year 2003, but is not listed currently.