Amayui Castle Meister:Summons

About Summons
Summons are characters who can be called by Fia and Roseline. Fia can call up to four elemental spirits known as yuiki while Roseline can call for two exceptionally strong ghostly allies. Summons always cost 10 Command Points and an open deployment slot to deploy and must be summoned next to the summoner. They can be dismissed anywhere as long as they have an action to do so.

Summons are otherwise similar to party members and even have events. However, they cannot change equipment or learn skills through promotions. Instead, they gain stats and new skills through training at the Training Area building. Training requires specific monsters of varying rarity, type, element, and gender. Some training also has prerequisites that require other training to be completed first.

Karinyuiki
Stat growths:

Ranrinyuiki
Stat growths:

Rurinyuiki
Stat growths:

Yourinyuiki
Stat growths:

Dancing Puppet
Stat growths:

Love Puppet Himer
Stat growths:

Enemy examples for capture
It can be difficult to find enemies that match the type you need to train your elementals since some enemies may be tagged with various characteristics, such as fire, but for some reason are unable to be used for training. Here are some of the harder to find enemies that have been confirmed to be usable.