An influential MP has called for David Cameron, Nick Clegg and Ed Miliband to formulate a joint policy on immigration to avoid "fringe parties" filling a vacuum.
Keith Vaz, the chair of the home affairs committee, said cross-party talks were needed to avoid an “arms race” towards tougher policies.
In an article for the Sunday Express, Vaz wrote: “Rather as they did for the Royal Charter agreement after Leveson, Messrs Cameron, Clegg and Miliband should now sit down together and talk about this issue.
“By doing this they will deny fringe parties the opportunity to fill the vacuum and demonstrate to the British people they want to engage purposefully and productively in addressing one the most challenging issues that our nation faces.”
Public confidence in the police force has been shaken because of a "dangerous cocktail" including the "plebgate" affair and the results of the Hillsborough Inquiry, a senior Labour backbencher has said.
Keith Vaz MP, chair of the Home Affairs Select Committee, which will start an inquiry into police accountability, integrity, internal corruption and malpractice in January, said it is a "defining moment" for the service.
He called on Prime Minister David Cameron to host annual summits with senior officers and called for "a new Magna Carta" for policing.
In the Sunday Express, Mr Vaz said recent events had dented the public's confidence in the police.
Keith Vaz MP, who represented the family of nurse Jacintha Saldanha, has written to the owners of Australian radio station 2Day FM to express his "concern" that Southern Cross Austereo "appears to have not taken any steps to assist the family."
The police watchdog has been given the names of more than 1,400 officers as it investigates South Yorkshire Police's role in the Hillsborough tragedy, MPs were told today.
The Home Affairs Select Committee chairman Keith Vaz said: "The South Yorkshire chief constable wrote to me on Friday to say he sent a list of 1,444 names of former and serving officers of South Yorkshire to the IPCC. This is a huge number of names - more than we expected."
Labour said today it was seeking an urgent Commons statement by the Government on the shortfall in Olympic security staff.
Keith Vaz, the Labour chairman of the Commons Home Affairs Select Committee, said he has asked G4S chief executive Nick Buckles and its chairman Alf Duch-Pedersen to appear before the Committee next week to explain themselves.
He said: "Considering the assurances we have been given in the past this is very serious and we expect a full explanation from a company that not only have the Olympic contract, but receive hundreds of millions of pounds from the Home Office and other Government departments each year."