If you say that it smokes a lot in the morning (I suppose that when it is cold) the problem can be of heaters (check them to see), what you should comment if the pulls disappear hot along with the smoke and if the idle is already stabilized when it is hot, or it remains the same ... greetings !!
In the direct injection engines, the heating for cold starts are not usually very important, unless it has a km porron, I would look if there are air bubbles in the diesel ducts that go to the Idem pump in case the diesel anti -secretory valve is failing and the circuit