Both incidents happened in North Belfast but appear to be unrelated.
At around 5.40pm yesterday evening, police were called to a fast food outlet on the Oldpark Road where a man had been shot.
He was taken to hospital where he is fighting for his life.
A short time later a blue coloured Vauxhall Astra estate car was seen leaving the scene.
A car matching this description was found on fire later nearby in Torrens Gardens.
Elsewhere, in the New Lodge area, a man was shot in both legs in a paramilitary-style shooting at around 7.55pm.
He was taken to hospital where his condition is not believed to be life-threatening.
Police are appealing for anyone who noticed any suspicious activity in the New Lodge area to contact Detectives at Tennent Street.