Prime Minister Justin Trudeau has denied a potentially incendiary allegation that his office told former attorney general Jody Wilson-Raybould to help SNC-Lavalin avoid a criminal prosecution.
The company is facing allegations that it bribed Libyan officials millions of dollars to secure government contracts.
If passed, the committee would hear from Wilson-Raybould, new Attorney General David Lametti, Trudeau's chief of staff, Katie Telford, Trudeau's principal secretary Gerald Butts, Privy Council clerk Michael Wernick, director of public prosecutions Kathleen Roussel, senior PMO advisers Mathieu Bouchard and Elder Marques; and Wilson-Raybould's chief of staff Jessica Prince.
Trudeau has called the allegation false, saying nobody in his office gave direction on the case to Wilson-Raybould.
The newspaper also suggests Wilson-Raybould was demoted in a cabinet shuffle last month because she didn't made a deal with the company.
While SNC-Lavalin has the right to be assumed innocent and to a fair trial, it has "no right or entitlement" under common or criminal law to be invited to negotiate a remediation agreement, the director said.
"If the Prime Minister has nothing to hide as he has suggested, then he should have no reason to fear these individuals appearing before the justice committee", Scheer said on Friday.
"All this cries out for some serious investigation, " he said in a telephone interview from Burnaby, where he is campaigning for a seat in the House of Commons in a February 25 byelection.
Justice Minister David Lametti speaks during question period in the House of Commons on February 7, 2019.
Parliament was seized this week by an allegation that the Prime Minister's Office tried to pressure its justice minister into interfering in how federal prosecutors treat the corruption case of SNC-Lavalin, a massive Montreal-based engineering and construction firm.
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As attorney general, Wilson-Raybould could have become involved in the case against the company by directing federal prosecutors to negotiate a "remediation agreement", a way of undoing damage without admitting the company itself was at fault for things particular employees did.
The prime minister should have nothing to fear from an independent investigation by the federal ethics commissioner, Singh said separately.
"If he truly wants to clear this up and believes there's been no wrongdoing, he should welcome an investigation from the ethics commissioner".
During the heady days of Justin Trudeau's "because it's 2015" declaration, Wilson-Raybould's ascension to the role of the nation's top justice official defined the moment. And if that line has in fact been crossed, then serious consequences will be in order. In any of those meetings was the subject of the criminal prosecution of that company ever discussed, yes or no?
Lametti repeatedly said the Prime Minister's Office had not given directives to him or his predecessor on the matter, nor had he or Wilson-Raybould been pressed on the case.
"Messing with the administration of justice is not just bad politics".
When asked about any conversations with Ms. Wilson-Raybould about the SNC-Lavalin prosecution, Mr. Trudeau would only say "we have a tremendous, positive working relationship with all members of our cabinet".
"The allegations that we are hearing in the last 24 hours are unprecedented", Scheer said.
The fact that such directives must be done publicly is meant to constrain a justice minister from doing anything overtly political.