rexxx,
I agree with some of seven's reply. Anthelia is in the same family as xenia, is often mistakenly called xenia, and there are many species of xenia.
Trying to identify xenia to the species level is (like most corals) futile. The appearance of any given species is quite variable. Guessing that a particular xenia is from the Red Aea, Bali, or Fiji is just as futile as trying to guess the species. Despite this, "red sea", "bali", and "fiji" have become entrenched common names for xenias with certain appearances.
Also, there are several genera in the Family xeniidae, including xenia, heteroxenia, cespitularia, effl
atournaria, stereosoma, and anthelia. Some pulse, some don't.
Care is also quite variable, and species that grow well for some aquarists shrivel and die for others. Tank raised xenia are pretty easy to come by, as some varietys grow so fast as to become pests. Aquireing a specimen from someone local who has a similar system to yours will improve your chances, but not guarantee success.
IME, most xenias are tolerant of a wide range of light, and will creep higher if they are not getting enough. They appreciate gentle current, and will cease pulsing if it is too strong. High pH and alkalinity are mandatory. Pulsing generally slows or ceases if pH falls below 8.2, and/or alkalinity falls below about 2.5 mEq/l.
May people insist that iodine additions are necessary, but I have had xenia overrun tanks where no iodine additions were made, and I have had xenia crash immediately after starting lugols additions. Don't believe the hype, and use any additives with caution.
Cespitularia, heteroxenia and Efflatournaria are rarely seen imports, usually demand high prices, and are reported to be quite touchy. If you are lucky enough to ever see one of them, resist the urge to buy it unless you have built some experience with other less demanding (and captive grown) xeniids.
HTH
Adam