Iris or
Ginevra!
Lea - awful meaning (at least to most sources I trust, the Oxford dictionary says it means weary), boring.
Lisa - dated, boring.
Melissa - dated in the US/trendy in Italy, bland.
Lia - nothing special. it is so close to many common names such as
Mia,
Leah etc.
Iris - not my style but nice and uncommon
Ginevra - cute, a bit common in Italy
If she likes uncommon names
Iris is the best choice but I like
Ginevra too. Next would be
Lia, then
Melissa, then
Lisa and
Lea (both equally bland).