A 20-year-old man, who was a passenger, is fighting for his life, while a woman, 27, suffered serious injuries.
The man driving the car, also aged 20, ran off after the crash after being seriously injured before he was caught by police.
A Police Scotland spokeswoman said: “A 20-year-old passenger was taken by ambulance to Glasgow Royal Infirmary where hospital staff describe his condition as critical.
“A 27-year-old passenger was taken by ambulance to the Queen Elizabeth University Hospital where hospital staff describe her condition as stable.
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“The driver of the car, a 20-year-old man, made off after the crash and was traced a short time later and was taken to the Queen Elizabeth University Hospital.
The spokeswoman added: “Enquiries are continuing into the crash. No-one has been charged at this time.
“Before the crash took place, the vehicle had been pursued by police for a short distance, however this had been stood down before the crash.
“As is normal practice in these circumstances, Police Scotland has referred this matter to the PIRC.”
One male passenger is critically injured, while anothers condition is described as serious. A female passenger is also in a stable condition in hospital.