Will not start in cold weather

fix/adjust the automatic choke setting

Check for vacuum leaks. Check fuel filter.

Batteries can slowly die , will start OK when hot , but when in cold weather , will give problems.

Most common reason for no start cold with a lack of fuel is the fuel pump relay or the check valve in the pump.
The fuel line should have some pressure it it after sitting overnight. If not, the check valve in the pump may have let fuel flow back into the tank. It would take a few minutes of cranking to get it started.
Also, if the fuel pump relay is not working, the pump would not get power until the engine has oil pressure.

You know what...there's nothing wrong with your engine...When metal is cold...it contracts...thus causing more friction between moving parts...this is why your motor runs rough in cold weather...I'm gonna give you a crazy suggestion...Have you heard of a "Block Heater"...it is a heated dip stick that you place in your engine overnight..
this device keeps your oil at operating temp overnight...so when you start your car....the block is warm...and the oil flows like magic..just pull out your dipstick...insert the block heater...and rest easy...of course...it has to plugged into a 110 volt outlet...You can find these online by Googleing it or go to www.yourautonetwork.com...Give it a try and let me know....I hope this was helpful....PEACE.....

Yes sir , you have a failing valve, soon it will snap in two....please have your head checked. You can do this yourself by placing a long-handed screwdriver , business end down to each cylinder while pressing your ear to the handle(while engine is running)...you will notice a definite difference when you hit which cylinder has the bad valve. Also makes sure the egr valve is clean and your exhaust recycle valve is not stuck.( located in the crossover pipe)

Have replaced your glow plugs?They dont cost alot to replace,try this

it could be blead back on the fuel line it may draw air while it's setting over night then you start it fuel pumps up and its fine till you let it set overnight again allowing it to again draw air in the fuel line

what type of fuel filter is fitted to it ..does it have a plastic fitting with two pipes attached to it which is held in by a hair clip type grip ? sometimes black or white?

The most common cause of this condition is the check valve in the fuel pump failing, to check this hook up a fuel test guage to the fuel rail test port, run the engine for a moment and shut it down, after shout down the pressure should stay within 5 PSI of the pressure at shut down after sitting overnight, if it doesn't then the fuel pump must be replaced, the reason is the fuel drains back to the tank if the valve is defective, so you get air and no real pressure on cold start, A check of pressure on a hot running engine will not show this fault, also make sure you are usine the correct Octane of fuel, Prem fuel in a regular fuel engine will cause cold start and stalling issues in cold weather.