In March 2011, Thusha Kamaleswaran, five, was caught in gang crossfire as she played in her uncle's shop in Stockwell.
She was left paralysed by the attack and her family were told that she would never walk again.
Watch her appearance on the Daybreak sofa this morning.
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London Underground's offer was conditional on unions responding by 6.30pm tonight.
Luke Gutteridge was taken to court after dropping a piece of fruit the size of a 10 pence coin.
The offer includes a 2% rise this year and £2,000 for drivers on the new all-night service.