Effect updates and description changes can be seen here.  

Alphys has the ability to add a random amalgamate card to your hand and reduce its cost by 2. This is great if you're low on money or using the Integrity soul type. It can also be a great asset as most amalgamates have expensive price tags or good abilities. You do not have to have owned an amalgamate at some point to receive it. You can further reduce the cost of this discounted amalgamate as you would any other card with Lesser Dog or a card with similar abilities.

The amalgamates are Memory Head, Lemon Bread, Reaper Bird, Endogeny, Everyman and Snowdrake's Mom.

Amalgamate Cost via Alphys
Memory Head 2
Lemon Bread 4
Reaper Bird 4
Everyman 5
Snowdrake's Mom 5
Endogeny 6