Video: Watch live: MPs debate Leveson report in House of Commons The debate comes as an online petition calling for full implementation of the report, backed by campaign group Hacked Off and many victims of press intrusion, passed 125,000 signatures. Following the report's publication last Thursday, Mr Cameron said he backed Lord Justice Leveson's plan for a new press regulator, truly independent from the industry and with the muscle to impose big fines and require prominent apologies. But he clashed with Deputy Prime Minister Nick Clegg and Labour leader Ed Miliband over the Appeal Court judge's call for the body to be underpinned by legislation, telling MPs he had "serious concerns and misgivings" about the move. Tomorrow, Culture Secretary Maria Miller will host a summit with newspaper editors - to be attended by the Prime Minister - to discuss progress on establishing a new press regulatory body along the lines set out in the report.