Kuwait's parliament, the most outspoken in the region, frequently questions ministers, sometimes provoking cabinet resignations or reshuffles that have delayed economic reform bills, including the creation of a markets regulator. Earlier this month, Interior Minister Sheikh Jaber Khaled al-Sabah was asked to stay in his post after submitting his resignation over the torture allegations.
In 2009, Sheikh Jaber survived a no-confidence vote in parliament, the second he has faced that year, after he was accused of misleading legislators about electoral violations.
An interior ministry forensics report issued earlier this month said there was evidence of "criminal activity" in the death of a Kuwaiti man after police detained him on suspicion of illegal possession of alcohol.
Lawmakers Waleed al-Tabtabae, Shuaib al-Muwaizery and Salem al-Namlan said they wanted to question Sheikh Jaber about the man's death and possible misleading of public opinion. A date for the questioning has yet to be set.
The minister had initially denied the torture allegations in parliament, but submitted his resignation following the ministry's forensics report.
The minister, a senior member of the Kuwaiti ruling family, was already under pressure after a police crackdown on an opposition gathering wounded several people in December.
That incident triggered a move by opposition members of parliament to question the prime minister. He survived a vote against him that could have potentially forced him to resign or a dissolution of parliament.