The couple were found dead in their Los Angeles home on December 14 and their 32-year-old son Nick - who had battled addiction and was reportedly being treated for schizophrenia - has been charged with their murders.
Now their other children, Jake, 34, and Romy, 27, have spoken out to thank well-wishers for their support, as well as to confirm details for a service of remembrance will follow in due course.
A statement from the siblings' spokesperson read: "Jake and Romy Reiner remain grateful for the outpouring of love and support they have received.
"They will share information about a memorial service honouring their parents at a later date."
Romy and Jake previously remembered the Princess Bride filmmaker and his wife as their "best friends".
They said in a statement last week: "Words cannot even begin to describe the unimaginable pain we are experiencing every moment of the day.
"The horrific and devastating loss of our parents, Rob and Michele Reiner, is something that no one should ever experience.
"They weren't just our parents; they were our best friends."
The siblings went on to thank people for their love and support and appealed for "compassion and humanity" when discussing the circumstances surrounding their deaths.
They added: "We are grateful for the outpouring of condolences, kindness, and support we have received not only from family and friends but people from all walks of life.
"We now ask for respect and privacy, for speculation to be tempered with compassion and humanity, and for our parents to be remembered for the incredible lives they lived and the love they gave."
Their statement was released as their brother made his first court appearance on Wednesday after being charged with two counts of first-degree murder.
Alan Jackson, his attorney, declined to enter a plea for his client.
However, Nick did speak briefly during the hearing.
Asked if he agreed to waive his right to a speedy arraignment, he replied, "Yes, your honour."
Nick's arraignment has now been scheduled for January 7.
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