Theresa May faces questions over her role in the parts which were redacted from the American Senate's damning report on torture techniques used by the CIA after 9/11.
MPs on the influential Home Affairs Select Committee want to know whether she asked for sections to be redacted because they could embarrass Westminster.
Former or serving ministers may be called to give evidence over allegations of British involvement in torture, Sir Malcolm Rifkind has said.
Rifkind, the head of the Intelligence and Security Committee (ISC), said if UK agents were present when detainees were being tortured, it "would be quite against all standards of this country" and should be made public.
"If people deserve to be embarrassed, it's our job to embarrass them," he added.
Asked whether he could call ex-Prime Minister Tony Blair, David Miliband or Jack Straw to give evidence, Sir Malcolm Rifkind said: "We will request any former or serving minister who has a contribution to make to our inquiry to give evidence."
If ministers refuse to appear, it will imply they "have something to hide", Rifkind said.
A former US Vice President has condemned a shocking report into interrogation techniques used by the CIA, slamming it as "full of crap".
While it seems beyond the realms of possibility now, things can change, what is unlikely now is conceivable in 30 years time.
Shocking details about the CIA's "brutal" interrogation techniques have been laid bare. (Note: graphic descriptions may cause upset)