Paloma is an engaging character with whom readers will identify. She loves her mother but is somewhat disappointed by the amount of time she is able to spend with her, but also irritated a bit by her. The different children who come into Paloma's sphere are interesting because they aren't necessarily the type of people they claim to be, which is an unusual thing to see in a middle grade novel.
Runholdt's Kari and Lucas Mysteries, Beil's The Read Blazer Girls and the work of Blue Balliet would all be good companions to Me. Frida, and the Secret of the Peacock Ring.
This had the additional complication of Paloma's father being dead. I wish that she had just been away from his for the summer, and that there were more information about Kahlo's artwork instead of information about her grieving. There are not many art mysteries that deal with artists not from the US, so this was a delightful trip to Mexico.