Jane Sherriff has started a Facebook campaign called Bottle Stop. She already has more than a 150,000 people backing her crusade which calls on the government to stop late night city centre bars and clubs serving any drinks in glass bottles.
For more information visit the campaign's Facebook page.
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The meeting was arranged in the wake of Wednesday's terrorist murder of four people in Westminster.
Dozens of women gathered on Westminster Bridge to form a human chain in a show of solidarity with the victims of Wednesday's terror attack.
In a wide-ranging Peston on Sunday interview, he said Parliament security needs reviewing and the PM's counter-terror strategy is flawed.