The court heard health experts had suggested the 29-year-old stay where he is for at least six weeks.
A doctor suggested the man stay at the clinic so experts could complete the relevant reports.
His next appearance will be on June 9 and he still has name suppression.
Defence lawyers will advise the court whether the accused man will appear in court next time in person or by audiovisual link.
The Bangeras, a married couple, were stabbed in their home on The Drive in Epsom and another person was injured.
The Herald has been told the couple moved to New Zealand from Goa, India, in about 2007.
Elizabeth Bangera was 55 and her husband was 60.