Apple’s quest for global domination – at least when it comes to selling music and mobile apps – continues today with the launch of the iTunes Store in 12 new countries. Last week we brought you news that Apple had brought the App Store to 32 more regions around the world. Apparently they weren’t quite done.

The new countries are all in Asia and the Pacific. Here’s the full list, per Apple: Brunei, Cambodia, Hong Kong, Laos, Macau, Malaysia, Philippines, Taiwan, Thailand, Singapore, Sri Lanka and Vietnam. Cambodia and Laos are also on last week’s list of new App Store markets.

iTunes Store customers in these new markets will get immediate access to all of the iTunes-related goodies Apple has been adding in recent months, including iTunes Match and the full catalog of iTunes Store music and movies. The latest version of iTunes – iTunes 10.6.3 – is available in all twelve countries and is, as always, a free download from Apple’s website.