My 2002 Mitsubishi Verada starts — sometimes. Seems to be a problem starting in the early morning, always starts after about 9-10. It has a brand new battery. I have taken it to three auto electricians and the best they can do is scratch their heads. So something about it seems to be affected by temperature?
The cold cranking power required to start an engine first thing in the morning when it’s cold is much higher than when it is a little warmer, as it is later in the day. Make sure your battery has sufficient cold cranking power to do the job. If the battery is too small, even if it’s new, it might not have the power needed to crank a V6. If it does have sufficient power then look to the starter. If the starter is not throwing in it could be worn.