even if = incluso
Even if they don't have enough money they always invite friends and family.
Incluso si no tienen bastante dinero siempre invitan a sus amigos y a su familia.
This guy is happy even if he doesn't look like it.
Este tipo es feliz aunque no tenga pinta de serlo.
Even if this dictionary is quite small, it is really good.
Aunque este diccionario es muy pequeño está muy bien.