"Our thoughts are with the families of the deceased."
Khuram touched his chest and gave the thumbs-up to his relatives in the public gallery of the Birmingham Crown Court during a 10-minute hearing on Wednesday.
Also understood to be in court were relatives of the deceased.
Khuram sported a Palestinian flag tattoo on the left side of his neck and stood with his hands in front of him as the charges were read.
The 23-year-old also admitted burglary of the funeral home, breaking into the building with the intention of stealing.
The offence he admitted stated: "You intended an act of penetration by a part of a body, by a part of your body.
"The penetration being sexual and knowing or being reckless as to what was being penetrated."
Judge Francis Laird QC said: "I will adjourn your sentence to the date that has been raised in court.
"I will allow your solicitors the appropriate time to present to the court a medical report which your solicitor thinks will assist in delivering the appropriate sentence for you.
"But you must be under no illusion that you will receive a sentence of imprisonment for your offending in this case - a substantial sentence of imprisonment."