Grand Nomade or Grand Vitara Difficulty in Encied

Hello friends again I here with a problem with a Grand Vitara or Grand Nomade when it is heated it has difficulty turning on you have to squeeze the accelerator thoroughly and there, when it is hot it loses power so much that it fails to upload slopes and the client comments that it puts the 4x4 to get out of the slopes.
When this cold is fine.
It is a Grand Vitara 2001 V6 with automatic transmission.
Thanks for the help.

Any fault code? Lack of power? Fuel level in the slopes? Fuel pump pressure?

When a vehicle costs that ignites and cold, it is almost always a problem of excess fuel because they need more fuel to start and hot. The first thing is always to scare in search of codes, if there is no spark plugs so that you deny what happens, see the live data of the vehicle and verify if there are no indications of mixing too rich of fuel. Start there and tell us what happens.

Well friends, I tell you that this is the big problem that this vehicle had previously stolen from the car's computer and they have changed position for security in this change of position and recaptue that they have done with another computer have not connected the socker to be able to hold it for that reason I cannot know either failure codes or live data what I can tell you is that you do not have the light of check.
The pump as the owner tells me is new the engine is recently repaired 3 months ago and if it is heated, there is a lack of power.

I, check the fuel pump pressure, even being new (many are defective), if you have no more possibilities, that option is the easiest to check. Fuel pump pressure, pressure regulator, covered filter.