I have a 98 Malibu with a similar problem (hot engine stall). Let sit for 5 minutes and runs fine. Other posts have directed me to the TCC Solenoid and the Crankshaft Position Sensor. I will be unhooking the TCC Solenoid to see if this clears the problem. If so, then it will be replaced.
Being a GM product, I would suspect a faulty fuel pump.
i would like to know what would cause the miss firing in Chevy Malibu
A northstar hose can cause the water pump to slip. This is in a 2002 Malibu.
what could cause a car to run for 20 minutes and dye and waiting about 5 minutes it will start back up and run for a couple of minutes and then have to wait and it will start back up and go for about 5 minutes and dye again. Chevy cavalier 2004
if its a v6 eng it could b a head or intake manifold gasket
These lights have 2 different "lights" in each of them. This occurs frequently. Change out the bulb and everything will be working fine once again.
if the pump and thermostat have been replaced on a 2001 malibu and it overheats and the heat doesnt work now but the air does. do it need bleeding still , will air in the line still cause that problem...
Rods and Rocker arms were the problem with my Malibu after changing lifters
Check the Malibu crank position sensor and coil pack. One of these is the most likely cause of the loss of fire.
frozen pulley
bearings
There can be several things that will cause your 2003 Chevy Malibu to run rough and not shift into fourth here. The probable cause is a lack of fuel. Due to a bad fuel injector.
see this link:A_user_tries_to_log_in_and_gets_denied_after_providing_a_user_name_What_settings_would_cause_this