Right to die campaigners are calling for a change in the law after it was revealed that one in five people who go to Switzerland for an assisted suicide are British.
Supporters say a big increase in so-called "suicide tourism" shows that terminally ill Britons should be able to end their lives at home.
ITV News Correspondent Harry Smith reports.
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The prime minister said there was a "clear and urgent imperative" to give new impetus to stalled negotiations.