It stalls when stepping on the accelerator in cold weather after starting up in the morning

check for cold starting problems diesels have glow plugs petrols have a choke

I am driving VW Citi golf sport 1.4i,every morning whn is cold my car couldn't start, after many attempts it would and when I try to accelerate it will choke. After buying the temperature sensor my problem was solved. the mechanics advised me to buy petrol filter and petrol gauge regulator and a petrol pump, thanks I didn't buy them. Only a temperature sensor made my car a comfortable drive.

Sounds like the engine is starving for fuel - plugged fuel filter, failing fuel pump, malfunctioning fuel regulator, etc. Have the fuel pressure checked.

is it petrol if so cover coil and or dizzy
maybe a moisture thing ..sorry im guessing

IF IS A DIESEL TRY REPLACEING THE GLOW PLUGS ??
AND IF ITS A PETROL CHECK THE DISTRIBITER CAP FOR CRACKS OF REPLACE COIL ??

idle air control valve is going bad

Inlet air temperature sensor, also known as throttle body temperature sensor, will do that. Don't go changing TPS, or IAC, as suggested in other post. If they work good in warm weather, they should do the same in cold. Air inlet sensor tells system how much fuel to deliver according to temperature, as engine needs more fuel the colder it is when starting.

many automobiles behave that way on a cold start, so you don't have to worry about it. just continue to rev the engine until it is warm!

check that your cooling system if full of coolant. the coolant that keeps the engine cool actually keeps the gas converter from freezing. alternatively is it hard to start of a morning when cold, if so could be butane wax build up from the gas, in the convertor.