It is a great mitzvah to deliver a eulogy for the deceased.[1]
Days when a Eulogy is Forbidden
It is forbidden to deliver a eulogy on Chol Hamoed except for a talmid chacham.[2]
It is forbidden to deliver a eulogy on Chanuka, Purim, or Rosh Chodesh.[3]
Tziduk Hadin
The Sephardic custom is to do tziduk hadin even on Yom Tov sheni. However, the Ashkenazic custom is that it isn't said on any day on which there is no tachanun.[4]