Health minister Norman Lamb told the BBC he is "very interested" in banning the use of face-down restraint. He said: "If that is possible, it should be done."
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Two knives were found at the scene in Islington, North London, and the suspects fled on foot before being arrested.
The violence began after a counter-protester allegedly doused a female rally organiser with pepper spray.
As temperatures climb through the day, the warmest spots are likely to be across western parts of Northern Ireland and western Scotland.