The grieving process necessarily includes time to remember the life of the deceased loved one. In the Catholic funeral rite, this is most appropriately done during the time of visitation, at the meal following the funeral, or even at the Vigil (Wake) Service. Since the Funeral Mass is primarily the time for praise and thanks for God's gift of eternal life in Jesus, the inclusion of a eulogy at the Mass is not allowed.
Therefore, please be sure to plan for eulogies at the Vigil (Wake) Service.