The Korea-Israel free trade agreement(FTA) is currently under consideration between two countries. However, 3 rounds of joint studies held between May 18, 2009 and August 2010, and Ministry of Trade, Commerce and Economy in Korea recently hosted public hearing regarding FTA with Israel. The government of South Korea is planning to excute the follow-up procedure for FTA with Israel based on the results of public hearing.
See the related article : http://www.koreaherald.com/view.php?ud=20160106001208
If you would like to find out more information regarding FTA trend in Korea and FTA related website, please visit the following link provided by Korea Customs Service.