It is believed that he is now in a stable condition after he and another 21-year-old were left with non-life-threatening injuries.
In a horrific attack, a group of men got out of a vehicle, assaulted them and fled.
The Metropolitan Police confirmed the attack took place in Nine Elms, south-west London, at 9pm on Thursday.
“His family feared the worst”
A statement read: “Police were called at 8.52pm on Thursday, 8 March to Ascalon Street, SW8 following reports of a stabbing.
“Officers attended with the London Ambulance Service (LAS). A 21-year-old man was discovered with stab wounds.
“Another man, also believed to be aged 21, was also found suffering from stab wounds.
“They were both taken by LAS to a south London hospital where their conditions are described as not life-threatening or life-changing.”
It continued: “They are believed to have been attacked by a group of males (no further details) who got out of a vehicle and assaulted them before fleeing the scene.
“A crime scene was put in place; road closures were also in place but have since been lifted.
“Detectives from Wandsworth CID investigate. Enquiries continue.”
Miles is the son of Liz’s older sister Kate Curran, 54, and is close to his aunt.
Liz was seen rushing back to see her family at Heathrow yesterday morning.
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There has not yet been any arrests in connection with the stabbing.
Miles has been a model since he was 13-years-old after he was spotted working on a stall in London’s Camden Market.
He was signed to Next Model Management and has since worked for Dolce & Gabbana and Roberto Carvalli.
He works under his aunt’s famous surname.