My 2.0 engine idles fast on a cold start. Then idles down after warming up.

It likely has EFI (electronic fuel injection) and an idle air control valve that regulate idle speed. They can get gummed and fail to have a fast idle when cold, or get stuck the other way, and have a too fast idle all the or regularly take its time slowing down after you take your foot off the gas. An engine temp sensor can also cause a lingering high idle if it reports the engine as still being cold after warm up.

Could be your IAC (Idle Air Control), leaking throttle body base gasket, or a throttle position sensor

From a cold start my sami idles really fast, but as I drive it and the engine warms up it will idle correctly. Is there a way to make it idle slower from a cold start?
what engine ? 1.3 L
carb or EFI? (94 was first year of efi, and many have been converted this old)
but the answer is the same , that is normal.
on car its a fast ilde cam on the carb.
in EFI its on the software and in the IAC thermal valve.

chk/test yr plugs also. If it starts to break down then chk soliniod & coil as u may be getting the start of a bigger problem. yr symptoms r showing signs of an elecrical problem. rough warm ups r the signs. c/be choke sensor also causing roughness..

That would be your engine "choke" functioning. It's not a problem. The choke engages when engine is cold and shoots extra fuel to the cylinders to idle the engine up especially in cold with. Once the engine has sufficiently warmed up, the engine will idle back down.

I would check the thermostat. Sounds like it is stuck open.
In open it takes longer to warm up the engine.

mcdevito75 here, The fast idle is needed when the engine is cold to make the air and fuel mixture rich to keep the engine running while cold, the carb. choke doew this with a bi-metalic spring in that balck round box on the side of the carb, a screw also hepls keep the choke closed until warm up, this screw can be adjusted tpo control how tight it holds the choke cloesed, here"s how to adjust this screw to slow fast idle speed, Locate on the carb, where the gas pedal connects, have a friend operate the gas pedal with the engine off, once you locate the linkage, you"ll also see 2 screws with springs around them, 1 is for fast idle the other for regular idle, you want the fast idle screw, notice this screw will lay against and Half moon shaped tab, while the other screw lays against a shaft, you need the screw that lays against the half moon shaped tab. Start the engine and step on the gas pedal slightly and relaease, at the screw that lays against this half moon, simply turn it counter clockwise or toward you just 1 2 or 3 turns very slowly, you'll hear the fast idle come down but you don"t want the fast idle to low, listen to the engine very carefully, slow it down just a bit, it should still race though but not out of control. Of course for a full carb, adjustment the shop should handle that., but this info will help.

Is the car idling faster than it has in the past when cold? The car is designed to idle a little faster than normal during warm up, to warm the engine quicker, and to keep it running. The fuel/air mix richens, (more fuel in the mix than normal), during start up conditions, and then as the engine warms, it should idle down to normal. Have you allowed it to continue its fast idle to see if it idles back down? Your post indicates that you turn it off and re-start to prompt the car to idle down. You have electronic fuel injection. The system adjusts to the prevalaint conditions to give you the perfect mix regardless of the condition it is presented with. It gathers input from a series of sensors that detect engine temp, outside temp, humidity and air pressure, to deliver the mix it needs. Often, when the mix is off, it is a result of a faulty sensor. This can be detected by running a fault code diagnostic check. You can have this performed for free at most national parts chains such as advance or auto zone. Other factors can cause an improper mix, such as dirty or clogged injectors, and/or a dirty air filter. Good Luck! I hope that you find this to be very helpful!

check and make sure air filter is ok, and there are no restrictions in hose to throttle body, check iac (idle air control.

I have a similar problem which seems to stop ,if after 20 mins of driving or warmed up engine if you stop for 10 mins the revs die to a more normal 1500 revs! it is a spanish car now living in theUK I think the problem is choke related.