Sad to learn that you are facing the same experience as my 2003 Rio auto 1.5
I had the same problem, been in to Thomson Centre 7 times in 3 weeks.
Finally, after all the checking and changing of cylinders heads, car is better for
a week. Recent morning starts show that the same problem may be recurring.
Could be due to inferior parts used. Could you believe even the Agent has no
clue to solve this problem.
Advice : I will sell the car after 3 years and buy a Toyota. Enough of Korean
brands.