Meditative practice from Asian country sounded almost fashionable (3,3)
I believe the answer is:
tai chi
'meditative practice' is the definition.
(Chinese martial art involving meditation)
'from asian country sounded almost fashionable' is the wordplay.
'from asian country' becomes 'Thai' (from Thailand).
'sounded' indicates a 'sounds like' (homophone) clue.
'almost' means to remove the last letter (most of the word but not all of it).
'fashionable' becomes 'chic' (chic means stylish or fashionable).
'thai' is a homophone of 'tai'.
'chic' with its last letter taken away is 'chi'.
'tai'+'chi'='TAI CHI'
(Other definitions for tai chi that I've seen before include "Chinese martial art and system of callisthenics" , "Way to cross a fence" , "'Chinese form of slow physical exercise (3,3)'" , "Chinese system of slow exercise for relaxation, balance and health" , "way of exercise" .)