I like it but I prefer simpler, similar names, such as
Lily,
Lila or
Lillian.
Lia would work as a nickname, but it's not perfect, as the emphasis is on the first L in
Lilia, not the second. To be honest, I don't like
Lia.
The only other problem with
Lilia is that it could get confused for the more common versions (like
Lily and
Lila). For this reason I'd go for the simpler, commoner version, or choose
Lydia.