I think if you are trying to find flights to Taiwan...Priceline may not be able to help much. The two main carriers from the U.S. are United and EVA Air
. EVA is partnered with American, so usually if you are flying to Taiwan from somewhere else in the U.S. other than Cali, you can take American to LAX or San Fran and take EVA from there to Taipei. (I go there for work peridically). There are so few flights that I suspect Priceline may not be too much help....but you never know. Prices generally seem to run about $1,500 round trip give or take, but keep an eye out for specials. Good luck.