In the future Euclid, you'll meet a lost child named May. Talk to her and have her follow you to her mother, which is near the North-Eastern part of the city. Be sure to have Suzu before doing this sidequest and walk slowly to let the kid keep up with you.
You will obtain:
Apple Gel (If May loses track of you a lot)
Spirit Ring (If May doesn't lse track of you)
A title for Suzu (If you have her with you)