As an international traveler in Thailand, you should keep the number and address of YOUR embassy in your mobile for emergencies.
Unfortunately, in Thailand, you may never get through on a call to your embassy and you may have to show up in person.
Depending on where in Thailand you will be traveling, know your option for getting to YOUR embassy.
I hope you never have to, but is another one of the checklist items you should know before you arrive in Thailand.
It is better to have piece of mind, where to go, if you ever need to.