Please be aware that Kuala Lumpur has multiple airports and that these results are for all airports serving the city.
The best month to fly between Kuala Lumpur and Palembang is October and the most expensive month to fly is June. (Average prices, based on 1486 datapoints.)
The best day to arrive at Kuala Lumpur is Wednesday and it would be best to avoid Saturday, as prices are on average 28.8% higher than on Wednesday. (Average prices, based on 1486 datapoints.)